2551564510 has 96 divisors (see below), whose sum is σ = 5385121056. Its totient is φ = 866764800.

The previous prime is 2551564489. The next prime is 2551564537. The reversal of 2551564510 is 154651552.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3352530 + ... + 3353290.

It is an arithmetic number, because the mean of its divisors is an integer number (56095011).

Almost surely, 2^2551564510 is an apocalyptic number.

2551564510 is an abundant number, since it is smaller than the sum of its proper divisors (2833556546).

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

2551564510 is a wasteful number, since it uses less digits than its factorization.

2551564510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

The square root of 2551564510 is about 50513.0132738090. The cubic root of 2551564510 is about 1366.4765534348.

The spelling of 2551564510 in words is "two billion, five hundred fifty-one million, five hundred sixty-four thousand, five hundred ten".