2531940957 has 64 divisors (see below), whose sum is σ = 4630528000. Its totient is φ = 1331515584.

The previous prime is 2531940949. The next prime is 2531940967. The reversal of 2531940957 is 7590491352.

It is a happy number.

It is not a de Polignac number, because 2531940957 - 2³ = 2531940949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531940967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 929844 + ... + 932562.

It is an arithmetic number, because the mean of its divisors is an integer number (72352000).

Almost surely, 2^2531940957 is an apocalyptic number.

2531940957 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2531940957 is a deficient number, since it is larger than the sum of its proper divisors (2098587043).

2531940957 is a wasteful number, since it uses less digits than its factorization.

2531940957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 2531940957 is about 50318.3958110749. The cubic root of 2531940957 is about 1362.9644384975.

The spelling of 2531940957 in words is "two billion, five hundred thirty-one million, nine hundred forty thousand, nine hundred fifty-seven".