264564402240 has 112 divisors (see below), whose sum is σ = 840120361920. Its totient is φ = 70539724800.

The previous prime is 264564402229. The next prime is 264564402251. The reversal of 264564402240 is 42204465462.

It is an interprime number because it is at equal distance from previous prime (264564402229) and next prime (264564402251).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7759951 + ... + 7793969.

It is an arithmetic number, because the mean of its divisors is an integer number (7501074660).

Almost surely, 2^264564402240 is an apocalyptic number.

264564402240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264564402240 is an abundant number, since it is smaller than the sum of its proper divisors (575555959680).

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

264564402240 is a wasteful number, since it uses less digits than its factorization.

264564402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42140 (or 42130 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

The spelling of 264564402240 in words is "two hundred sixty-four billion, five hundred sixty-four million, four hundred two thousand, two hundred forty".