26
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There are 25 combinations of 2 single addends which equal 24:
0+24, 1+23, 2+22, 3+21, 4+20, 5+19, 6+18, 7+17, 8+16, 9+15, 10+14, 11+13, 12+12, 13+11, 14+10, 15+9, 16+8, 17+7, 18+6, 19+5, 20+4, 21+3, 22+2, 23+1, and 24+0.
No sum of any even numbers can add up to an odd number.
Add them up. 20, 21, 22, 24, 25, 26, 27, 28, 30
Add them up. 16, 18, 20, 21, 22, 24
If the sum of its digits add up to 9
The interior angles of a 24-agon add up to 3960 degrees.