2551599960 has 128 divisors (see below), whose sum is σ = 9421332480. Its totient is φ = 538357248.

The previous prime is 2551599959. The next prime is 2551599979. The reversal of 2551599960 is 699951552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105912 + ... + 127751.

It is an arithmetic number, because the mean of its divisors is an integer number (73604160).

Almost surely, 2^2551599960 is an apocalyptic number.

2551599960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2551599960 is an abundant number, since it is smaller than the sum of its proper divisors (6869732520).

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

2551599960 is a wasteful number, since it uses less digits than its factorization.

2551599960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233697 (or 233693 counting only the distinct ones).

The product of its (nonzero) digits is 1093500, while the sum is 51.

The square root of 2551599960 is about 50513.3641722663. The cubic root of 2551599960 is about 1366.4828817573.

The spelling of 2551599960 in words is "two billion, five hundred fifty-one million, five hundred ninety-nine thousand, nine hundred sixty".