2551292800 has 288 divisors, whose sum is σ = 7494129720. Its totient is φ = 855429120.

The previous prime is 2551292797. The next prime is 2551292819. The reversal of 2551292800 is 82921552.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8310247 + ... + 8310553.

Almost surely, 2^2551292800 is an apocalyptic number.

2551292800 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 2551292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747064860).

2551292800 is an abundant number, since it is smaller than the sum of its proper divisors (4942836920).

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

2551292800 is a wasteful number, since it uses less digits than its factorization.

2551292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 2551292800 is about 50510.3236972403. The cubic root of 2551292800 is about 1366.4280474400.

The spelling of 2551292800 in words is "two billion, five hundred fifty-one million, two hundred ninety-two thousand, eight hundred".