240972581688960 has 256 divisors, whose sum is σ = 860574075235200. Its totient is φ = 56838741442560.

The previous prime is 240972581688929. The next prime is 240972581688967. The reversal of 240972581688960 is 69886185279042.

It is not an unprimeable number, because it can be changed into a prime (240972581688967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153403515 + ... + 154966394.

Almost surely, 2^{240972581688960} is an apocalyptic number.

240972581688960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240972581688960 is an abundant number, since it is smaller than the sum of its proper divisors (619601493546240).

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

240972581688960 is a wasteful number, since it uses less digits than its factorization.

240972581688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308369979 (or 308369967 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 75.

The spelling of 240972581688960 in words is "two hundred forty trillion, nine hundred seventy-two billion, five hundred eighty-one million, six hundred eighty-eight thousand, nine hundred sixty".