2551516902 has 64 divisors (see below), whose sum is σ = 6191665920. Its totient is φ = 772416000.

The previous prime is 2551516901. The next prime is 2551516949. The reversal of 2551516902 is 2096151552.

2551516902 is a `hidden beast` number, since 2 + 5 + 51 + 516 + 90 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551516901) 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, 949653 + ... + 952335.

It is an arithmetic number, because the mean of its divisors is an integer number (96744780).

Almost surely, 2^2551516902 is an apocalyptic number.

2551516902 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2551516902 is an abundant number, since it is smaller than the sum of its proper divisors (3640149018).

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

2551516902 is a wasteful number, since it uses less digits than its factorization.

2551516902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4306 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 2551516902 is about 50512.5420267086. The cubic root of 2551516902 is about 1366.4680546464.

The spelling of 2551516902 in words is "two billion, five hundred fifty-one million, five hundred sixteen thousand, nine hundred two".