# Imaginary Factorial?

Calculus Level 5

$\large | (2i)!| = Ae^{\pi}\sqrt{\frac{\pi}{e^{B\pi}-C}}$

If the equation above is true for some positive integers $$A$$, $$B$$ and $$C$$, find $$A+B+C$$.

Clarification: $$i=\sqrt{-1}$$.

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