2552402560 has 32 divisors (see below), whose sum is σ = 6101838900. Its totient is φ = 1020960768.

The previous prime is 2552402527. The next prime is 2552402579. The reversal of 2552402560 is 652042552.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2545807936 + 6594624 = 50456^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×2552402560³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1993425 + ... + 1994704.

Almost surely, 2^2552402560 is an apocalyptic number.

2552402560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552402560 is an abundant number, since it is smaller than the sum of its proper divisors (3549436340).

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

2552402560 is an equidigital number, since it uses as much as digits as its factorization.

2552402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988148 (or 3988136 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 2552402560 is about 50521.3079799009. The cubic root of 2552402560 is about 1366.6261414383.

The spelling of 2552402560 in words is "two billion, five hundred fifty-two million, four hundred two thousand, five hundred sixty".