16 does.
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16
The factors of 16 are 1, 2, 4, 8, and 16.
12, 18 and 20 each have six factors.
For a number to have [only] 2 factors, it must be a prime number; the prime numbers between 0 and 20 are; 2, 3, 5, 7, 11, 13, 17, 19
240 has 20 factors.