I came across the definition of a highly composite number yesterday as a positive integer that has more divisors than any positive integer smaller than it. And, then I realised it would give 2 a very awkward distinction of being the only number that's both prime and highly composite. Is this correct ?
If you think of a highly composite number as any number that is "more composite" than any smaller number, it would make sense that the very first highly composite number wouldn't be composite at all.
Actually according to the wikipedia page 1 is a highly composite number! With 0 prime factors.