2551440864 has 96 divisors (see below), whose sum is σ = 7901300736. Its totient is φ = 705461760.

The previous prime is 2551440847. The next prime is 2551440923. The reversal of 2551440864 is 4680441552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40407 + ... + 82070.

It is an arithmetic number, because the mean of its divisors is an integer number (82305216).

Almost surely, 2^2551440864 is an apocalyptic number.

2551440864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2551440864 is an abundant number, since it is smaller than the sum of its proper divisors (5349859872).

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

2551440864 is a wasteful number, since it uses less digits than its factorization.

2551440864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122528 (or 122520 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 2551440864 is about 50511.7893565453. The cubic root of 2551440864 is about 1366.4544804297.

The spelling of 2551440864 in words is "two billion, five hundred fifty-one million, four hundred forty thousand, eight hundred sixty-four".