Trollathon #3.8 : What is this?

The imaginary number ----- i

$1000$ in roman numerals is m

$0$ looks like o

Together, they make IMO!

Now, the clue $2008$ and $5$ suggest us to look at IMO 2008 #5. The answer (which can be found in websites or books) is $2^{n - k}$ . So, substituting $n = 2014, k = 2000$ gives $2^{14} = 16384$ .