What is 2²⁴, and where do you meet it?

16777216 — about 16.7 million, the number of colours in 24-bit "True Color".

The story: a DJ balances a cake; then a gun twirls beside a second DJ.

24-bit colour spends 8 bits each on red, green and blue, giving 2²⁴ = 16,777,216 possible colours — the "16.7 million colours" on a display's spec sheet. The leading digits peg as 16 · 77 · 72 · 16 → DJ · cake · gun · DJ; most people just remember "≈ 16.7 million".