2551110760 has 96 divisors (see below), whose sum is σ = 6404237280. Its totient is φ = 913714560.

The previous prime is 2551110721. The next prime is 2551110787. The reversal of 2551110760 is 670111552.

It is a super-2 number, since 2×2551110760² = 13016332219575555200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320347 + ... + 328213.

It is an arithmetic number, because the mean of its divisors is an integer number (66710805).

Almost surely, 2^2551110760 is an apocalyptic number.

2551110760 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 2551110760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202118640).

2551110760 is an abundant number, since it is smaller than the sum of its proper divisors (3853126520).

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

2551110760 is a wasteful number, since it uses less digits than its factorization.

2551110760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7967 (or 7952 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 2551110760 is about 50508.5216572412. The cubic root of 2551110760 is about 1366.3955475145.

It can be divided in two parts, 2551 and 110760, that added together give a palindrome (113311).

The spelling of 2551110760 in words is "two billion, five hundred fifty-one million, one hundred ten thousand, seven hundred sixty".