2553116800 has 144 divisors (see below), whose sum is σ = 6830916030. Its totient is φ = 942489600.

The previous prime is 2553116789. The next prime is 2553116801. The reversal of 2553116800 is 86113552.

It can be written as a sum of positive squares in 9 ways, for example, as 36288576 + 2516828224 = 6024^2 + 50168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553116801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 538440 + ... + 543160.

Almost surely, 2^2553116800 is an apocalyptic number.

2553116800 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 2553116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415458015).

2553116800 is an abundant number, since it is smaller than the sum of its proper divisors (4277799230).

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

2553116800 is a wasteful number, since it uses less digits than its factorization.

2553116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 2553116800 is about 50528.3761860600. The cubic root of 2553116800 is about 1366.7536040935.

The spelling of 2553116800 in words is "two billion, five hundred fifty-three million, one hundred sixteen thousand, eight hundred".