2504 = 2 x 2 x 2 x 313.
2504 is 40004 in base 5 (A097251).
2504 is a Friedman number (A036057).
2504 is the number of forests of ordered trees on 9 total nodes (A052854).
2504 has a representation as a sum of two squares: 2504 = 22 + 502.
2504 divides 254 - 1.
Source: What's Special About This Number?
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