2552552000 has 56 divisors (see below), whose sum is σ = 6321414840. Its totient is φ = 1021017600.

The previous prime is 2552551973. The next prime is 2552552011. The reversal of 2552552000 is 2552552.

It can be written as a sum of positive squares in 4 ways, for example, as 449779264 + 2102772736 = 21208^2 + 45856^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151535 + ... + 167534.

Almost surely, 2^2552552000 is an apocalyptic number.

2552552000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552552000 is an abundant number, since it is smaller than the sum of its proper divisors (3768862840).

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

2552552000 is an equidigital number, since it uses as much as digits as its factorization.

2552552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319096 (or 319076 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 26.

The square root of 2552552000 is about 50522.7869381728. The cubic root of 2552552000 is about 1366.6528123389.

2552552000 divided by its reverse (2552552) gives a cube (1000 = 10³).

The spelling of 2552552000 in words is "two billion, five hundred fifty-two million, five hundred fifty-two thousand".