2551441600 has 168 divisors, whose sum is σ = 6998726160. Its totient is φ = 909803520.

The previous prime is 2551441579. The next prime is 2551441601. The reversal of 2551441600 is 61441552.

It is not an unprimeable number, because it can be changed into a prime (2551441601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514332 + ... + 519268.

Almost surely, 2^2551441600 is an apocalyptic number.

2551441600 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 2551441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499363080).

2551441600 is an abundant number, since it is smaller than the sum of its proper divisors (4447284560).

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

2551441600 is a wasteful number, since it uses less digits than its factorization.

2551441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2551441600 is about 50511.7966419727. The cubic root of 2551441600 is about 1366.4546118209.

The spelling of 2551441600 in words is "two billion, five hundred fifty-one million, four hundred forty-one thousand, six hundred".