2551894800 has 240 divisors, whose sum is σ = 10061439360. Its totient is φ = 538398720.

The previous prime is 2551894789. The next prime is 2551894831. The reversal of 2551894800 is 84981552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97516 + ... + 120884.

It is an arithmetic number, because the mean of its divisors is an integer number (41922664).

Almost surely, 2^2551894800 is an apocalyptic number.

2551894800 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 2551894800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030719680).

2551894800 is an abundant number, since it is smaller than the sum of its proper divisors (7509544560).

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

2551894800 is a wasteful number, since it uses less digits than its factorization.

2551894800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23410 (or 23399 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 2551894800 is about 50516.2825235587. The cubic root of 2551894800 is about 1366.5355125644.

The spelling of 2551894800 in words is "two billion, five hundred fifty-one million, eight hundred ninety-four thousand, eight hundred".