2551415888 has 60 divisors (see below), whose sum is σ = 5760554292. Its totient is φ = 1091543040.

The previous prime is 2551415887. The next prime is 2551415897. The reversal of 2551415888 is 8885141552.

It can be written as a sum of positive squares in 2 ways, for example, as 2403744784 + 147671104 = 49028^2 + 12152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551415887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 500006 + ... + 505082.

Almost surely, 2^2551415888 is an apocalyptic number.

2551415888 is a gapful number since it is divisible by the number (28) 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 2551415888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880277146).

2551415888 is an abundant number, since it is smaller than the sum of its proper divisors (3209138404).

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

2551415888 is a wasteful number, since it uses less digits than its factorization.

2551415888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5740 (or 5727 counting only the distinct ones).

The product of its digits is 512000, while the sum is 47.

The square root of 2551415888 is about 50511.5421265279. The cubic root of 2551415888 is about 1366.4500216839.

The spelling of 2551415888 in words is "two billion, five hundred fifty-one million, four hundred fifteen thousand, eight hundred eighty-eight".