2551627764 has 96 divisors (see below), whose sum is σ = 7714784000. Its totient is φ = 729025920.

The previous prime is 2551627723. The next prime is 2551627787. The reversal of 2551627764 is 4677261552.

2551627764 is a `hidden beast` number, since 2 + 5 + 516 + 2 + 77 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2604 + ... + 71484.

Almost surely, 2^2551627764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2551627764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857392000).

2551627764 is an abundant number, since it is smaller than the sum of its proper divisors (5163156236).

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

2551627764 is a wasteful number, since it uses less digits than its factorization.

2551627764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68915 (or 68893 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 2551627764 is about 50513.6393858134. The cubic root of 2551627764 is about 1366.4878451205.

The spelling of 2551627764 in words is "two billion, five hundred fifty-one million, six hundred twenty-seven thousand, seven hundred sixty-four".