242520993920 has 64 divisors (see below), whose sum is σ = 604984472640. Its totient is φ = 92790635520.

The previous prime is 242520993919. The next prime is 242520993929. The reversal of 242520993920 is 29399025242.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (242520993929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8223086 + ... + 8252525.

It is an arithmetic number, because the mean of its divisors is an integer number (9452882385).

Almost surely, 2^242520993920 is an apocalyptic number.

242520993920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242520993920 is an abundant number, since it is smaller than the sum of its proper divisors (362463478720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242520993920 is a wasteful number, since it uses less digits than its factorization.

242520993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16475653 (or 16475641 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 242520993920 in words is "two hundred forty-two billion, five hundred twenty million, nine hundred ninety-three thousand, nine hundred twenty".