2567632440 has 64 divisors (see below), whose sum is σ = 7715036160. Its totient is φ = 683623040.

The previous prime is 2567632423. The next prime is 2567632447. The reversal of 2567632440 is 442367652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567632447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61105 + ... + 94175.

It is an arithmetic number, because the mean of its divisors is an integer number (120547440).

Almost surely, 2^2567632440 is an apocalyptic number.

2567632440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2567632440 is an abundant number, since it is smaller than the sum of its proper divisors (5147403720).

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

2567632440 is a wasteful number, since it uses less digits than its factorization.

2567632440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33732 (or 33728 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 2567632440 is about 50671.8110984796. The cubic root of 2567632440 is about 1369.3389177361.

The spelling of 2567632440 in words is "two billion, five hundred sixty-seven million, six hundred thirty-two thousand, four hundred forty".