2501430957 has 32 divisors (see below), whose sum is σ = 3761203200. Its totient is φ = 1642797936.

The previous prime is 2501430937. The next prime is 2501430961. The reversal of 2501430957 is 7590341052.

2501430957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-2501430957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501430937) 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, 1199838 + ... + 1201920.

It is an arithmetic number, because the mean of its divisors is an integer number (117537600).

Almost surely, 2^2501430957 is an apocalyptic number.

2501430957 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2501430957 is a deficient number, since it is larger than the sum of its proper divisors (1259772243).

2501430957 is a wasteful number, since it uses less digits than its factorization.

2501430957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2501430957 is about 50014.3075229479. The cubic root of 2501430957 is about 1357.4677065667.

The spelling of 2501430957 in words is "two billion, five hundred one million, four hundred thirty thousand, nine hundred fifty-seven".