2551744000 has 160 divisors (see below), whose sum is σ = 6854623776. Its totient is φ = 941875200.

The previous prime is 2551743941. The next prime is 2551744021. The reversal of 2551744000 is 4471552.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2551744000² = 13022794883072000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2551744000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830467 + ... + 833533.

Almost surely, 2^2551744000 is an apocalyptic number.

2551744000 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 2551744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427311888).

2551744000 is an abundant number, since it is smaller than the sum of its proper divisors (4302879776).

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

2551744000 is an equidigital number, since it uses as much as digits as its factorization.

2551744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 2551744000 is about 50514.7899134501. The cubic root of 2551744000 is about 1366.5085943160.

The spelling of 2551744000 in words is "two billion, five hundred fifty-one million, seven hundred forty-four thousand".