2552759200 has 36 divisors (see below), whose sum is σ = 6231925350. Its totient is φ = 1021103360.

The previous prime is 2552759197. The next prime is 2552759281. The reversal of 2552759200 is 29572552.

It can be written as a sum of positive squares in 3 ways, for example, as 2240318224 + 312440976 = 47332^2 + 17676^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2552759200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1594675 + ... + 1596274.

Almost surely, 2^2552759200 is an apocalyptic number.

2552759200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2552759200 is an abundant number, since it is smaller than the sum of its proper divisors (3679166150).

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

2552759200 is a wasteful number, since it uses less digits than its factorization.

2552759200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190969 (or 3190956 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 2552759200 is about 50524.8374564431. The cubic root of 2552759200 is about 1366.6897900774.

The spelling of 2552759200 in words is "two billion, five hundred fifty-two million, seven hundred fifty-nine thousand, two hundred".