2552331200 has 84 divisors (see below), whose sum is σ = 6299514960. Its totient is φ = 1017815040.

The previous prime is 2552331169. The next prime is 2552331211. The reversal of 2552331200 is 21332552.

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 11 ways as a sum of consecutive naturals, for example, 562541 + ... + 567059.

Almost surely, 2^2552331200 is an apocalyptic number.

2552331200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149757480).

2552331200 is an abundant number, since it is smaller than the sum of its proper divisors (3747183760).

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

2552331200 is a wasteful number, since it uses less digits than its factorization.

2552331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 2552331200 is about 50520.6017383008. The cubic root of 2552331200 is about 1366.6134052877.

Adding to 2552331200 its reverse (21332552), we get a palindrome (2573663752).

The spelling of 2552331200 in words is "two billion, five hundred fifty-two million, three hundred thirty-one thousand, two hundred".