Coolant mixes with oil when filling radiator 2.4l . eng runs smooth but coolant getting down into oil pan without even starting engine'new cyl head and gasket.

engine damaged --usually a blown head gasket but it just pouring in coolant and engine not running may have cracked cylinder or block due to overheating

I am assuming its motor oil and not transmission fluid, right ?
You can have a leaking intake gasket or head gasket and get oil in the coolant without getting coolant in the crankcase.
Same thing opposite. The bigger the leak, the better the chance of getting both at the same time.

if the head gasket is not blown did you have head checked to see if it was warped? This can happen very quickly when it is overheating. The fact that u have oil and coolant mixing means that coolant is entering either from the head or a cylinder is cracked letting coolant in

The only place, oil and water share a gasket is the cylinder head gasket, oil and water galleries run through the engine block and head via the head gasket. The cylinder pressure will be OK, it's the oil pressure that's putting the oil in the coolant, the gasket has gone between the water and oil galleries or there is an internal crack (unlikely). A coolant pressure test should show it up.

i had this same problem before, in my case it was that the transmetion oil runs through the radiator to be cooled and the part that the transmition oil runs through had cracked. I put a new after market radiator in and never had another problem.

A leaking head gasket would cause oil to leak into the coolant or coolant into the oil pan, also coolant into the cylinders and compression into the cooling system.
Lack of coolant would not keep the engine from starting but coolant in the cylinders could foul the spark plugs.
If you take the radiator cap off and can see bubbles in the coolant when the engine is running, or the radiator builds up an excessive amount of pressure, it could be the head gasket.
You could remove the thermostat to make sure it is not stuck closed.
The only way to know for sure if the head gasket is leaking is to take the cyl head off and inspect it.

It is always on the lower side of the oil pan on the "bulge".

there is no air bleeder, It will bleed it self . Or you could put a pan under radiator to catch coolant spill, Put pan under radiator, remove radiator cap, start engine,let engine run,have a 50% coolant mix on hand, when engine warms up the thermostat will open and allow flow of coolant. just as the thermostat starts to open air will release causing coolant to spill over filler cap inlet, this is normal, the pan is so you don't waste coolant or make a mess. in a few moments as the thermostat opens to full position the coolant level will fall in radiator, at this time you will fill radiator untill it will take no more,put cap on radiator and use clean fluid you caught in pan or coolant in jug or whatever you have it in and fill the coolant reservoir to fill line. i hope you have heat now ! check reservoir again the next day, if low fill and you should be good !! do this procedure when engine is cold,never remove a hot radiator cap. but if you were too, make sure you squeeze upper radiator hose, IF IT IS HARD OR UNDER PRESSURE, DO NOT REMOVE !!!! If you can squeeze the hose then put a rag over cap and remove slowly a little pressure or coolant might spill but should be minimal. I have alot of experience in this and severe burns are possible to the inexperienced !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Slap on those vinyl gloves because the ethylene glycol in antifreeze can cause skin damage - however we recommend this because the antifreeze feels like engine oil.With your catch pan in place, remove the radiator drain plug and collect all old coolant. Immediately dispose of the coolant as required by environmental laws - if you are to surrender the old coolant at a waste management facility, be sure you use containers which can be properly sealed to avoid spillage, etc.To expedite the draining process, remove your radiator fill cap to allow air to enter the system.
Also be sure to remove all coolant from your radiator reservoir. We suggest you use the gravity siphon trick - just be sure not to ingest any coolant.

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Watch the old coolant as it exits the system - this will give you a good idea of your vehicle's cooling system condition.If you see metal flakes, oily surface, white flakes, etc .. you can make a diagnosis of your engine's coolant system.
Essentially, if you see anything but coolant and some very minor debris, it can indicate the early signs of cooling system failure.When all coolant has been drained from the radiator, replace the radiator drain plug and then fill the system with plain tap water to dilute remaining antifreeze in the engine block.
With the cooling system refilled with tap water, replace the radiator fill cap and run the engine allowing it to reach operating temperature.When the engine's cooling fan turns on, it is an indication that the vehicle's thermostat has opened, allowing the freshly added water to circulate through the engine thus diluting the remaining coolant. Allow the engine to run for a few minutes before shutting it off.
At this point, you can either wait until the engine cools off, or take fate in your own hands and continue the flushing process.Repeat the draining process being sure to once again collect and dispose of all waste coolant.
At this point, if you have opted to purchase a radiator flush kit, you should refill the cooling system with tap water and add the caustic fluid as directed.
Run the engine for as long as the radiator flush kit calls for (usually less than 10 minutes).

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Once again, drain the cooling system, collecting all waste fluid. This is the last time you will be required to collect engine coolant during this process.Now that the cooling system is empty, replace the radiator drain plug and refill the cooling system with distilled water only. The reason that you should only use distilled water at this point is to avoid mineral deposits which will deteriorate your cooling system over time.
Once the cooling system has been completely filled, start the engine to allow the water to circulate. Once again remove the radiator drain plug. As the engine runs, pour fresh distilled water into the radiator fill hole at the same rate that it exits the system.Continue this process until the water being drained from the radiator appears to be clear and free of debris. Once you are satisfied with the drain water's appearance, stop the engine and allow all remaining water to drain out.Replace the radiator drain plug and prepare to mix your distilled water and coolant.
Be sure to mix your coolant to the ratio recommended by your manufacturer. In most cases, the ratio is 50% distilled water and 50% coolant.
As a tip, mix the coolant and water in a third container being sure to observe the proper ratio.As you mix your water and coolant, use your hydrometer to measure the specific gravity - this will give you a good idea of whether or not you are mixing the coolant and water properly.
Once you have mixed enough coolant and water to fill your engine's coolant system entirely, grab a funnel and place it in the radiator fill hole.Fill your radiator at a rate of no more than:
{ 1 L/min. \ 1.1 US qt./min. \ 0.9 Imp. qt./min. }.
Continue the filling process until the coolant reaches the bottom of the fill neck. Now fill the radiator reservoir to the full mark.
With the radiator fill cap still off, start the car and allow it to idle. As the engine runs, continue to add coolant as air escapes the engine and cooling system.As you top up the radiator, be sure to "burp" the cooling system by firmly squeezing the radiator hoses (both upper and lower). Continue to squeeze and release the hoses to help push any errant air bubbles out of the system.
Once you are unable to fill the radiator any further, replace the radiator fill cap and stop the engine - you are finished.

Hope this helps you. Here are the basics. There are many problems you may run up against (frozen bolts, stubborn or cracked hoses, rusted clamps, etc)that may need to be fixed or replaced before proceeding: SHut off engine, allow to cool completely. Disconnect the cooling fan, remove negative battery terminal connection. Drain radiator by opening draincock and/or removing lower radiator hose, collecting coolant in a drain pan. Do not let it go onto the ground - bad for environment! Open top radiator hose to allow remainder of coolant to flow out. A few quarts of coolant will remain in the engine block. You will want to totally flush and refill AFTER replacing the radiator to get all the crud out of the system. Unbolt radiator and disconnect any other items still attached (transmission cooler, temp sensor wires, etc.). Remove radiator and replace with new, reattaching all items removed from old radiator. Inspect other items and possibly replace suspects. Reattach hoses and make sure the clamps are tightened without pinching hoses excessively. Do a flush job with water/radiator flush, making sure the water runs clear out the draincock. Instructions for flushing the cooling system are usually printed on the radiator flush bottle. Be sure the heater is on and the engine warms up completely to open the thermostat. SHut off engine and drain as much water as will leave. Fill with 50% coolant mix (Dexcool or equivalent). Estimate water remaining in the engine and add 100% coolant to balance. COmplete fill with 50% mix. Remove air by running engine until warmed with the radiator cap off, adding coolant mix along the way.