I'll have a go.

"Max" -don't exceed these levels if you don't want to fry something. It has often been observed that high quality equipment from reputable manufacturers can exceed the stated "Max" levels and cheaper equipment barely makes it to these specs, so best to play it safe.

Power (Watts) = Voltage (volts) x Current (amps)

So if your max power is 2360 watts and max current is 70 amps, then you can run a max voltage of 2360 / 70 = 33.7 volts

If you are running 10S (nominal 37 volts, max 42 volts) then you are going to need to watch the amp draw of the motor carefully. It is possible that even at 10S, you could run a load (like a really big prop) that could take the motor to 70 amps so you should only use recommended prop range for the motor and check that you are not approaching the 70 amp mark.

If the max current the motor can handle is 70 amp, then typically your ESC needs to be able to handle 70 amps, plus some head room. It sounds like you are not going to overload the motor at 10 volts, so an 80 amp ESC should be fine. If at a later point you want to run higher voltages on the motor and may be approaching the 70 amp max for the motor, you may want to consider a 100A ESC (no point in killing the motor **and** the ESC).

Lastly for the C rating. C ratings help you calculate the amount of current batteries are capable of delivering. If you try to draw more current from a battery than it is rated for, you will damage it (from hot, to puffy, to explode).

Often the batteries have a C rating and a "Burst" C rating, which is a little higher. This means that the battery can deliver the burst level of current for a short (few seconds) period of time.

You use the C rating and the battery capacity to calculate the maximum current that the battery can deliver safely.

Lets say your 10S battery has a 20 C rating and is 3000 mAh. The calculation for the max current the battery can deliver is:

(3000 mAh * 20C) / 1000 (the divide by 1000 is to convert milli amps to amps) = 60 Amps. You can see from the calculation that higher (and more expensive) C rated batteries can deliver more current and also that bigger capacity batteries can deliver more current.

If your battery has a "Burst" rating of 30C then you can use the same calculation and find that your battery can deliver up to 90 amps for a short period of time.

Hope this helps.

DamoRC