I wouldn't say $2500 is easily attainable. That would raise the btc market cap from roughly $6 billion to roughly $30 billion.
If you think $24 billion is easy to come by, well then pm me, I have some bridges for sale.
While I'm also sceptical about breaching the 2k mark on this runup, your math does not take hodlers into consideration.
If 50% of the coins would not be sold during the rise, the capital needed is actually "only" $13 billion
I'm not sure if my is correct here as I'm too lazy put some effort in it right now, but heres another example to make my point more clear:
If all of the sudden there wouldnt be any possibility to trade btc any more but local bitcoins and one crazy guy would pay $2.5k for the last available bitcoin, the market cap would rise to 30bn just based on this 2.5k injection.
OK, my math may be off in terms of how much is actually needed to reach that mark, but say the market cap reaches $30 billion, is there actually $30 billion worth of purchasing power? Until people/businesses can start directly taking btc and not needed to transfer to fiat, then I don't see how the market cap can stay at a level like that.