2505776768 has 64 divisors (see below), whose sum is σ = 5682640320. Its totient is φ = 1089454080.

The previous prime is 2505776743. The next prime is 2505776773. The reversal of 2505776768 is 8676775052.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2505776768² = 12557834422097051648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6305 + ... + 71072.

It is an arithmetic number, because the mean of its divisors is an integer number (88791255).

Almost surely, 2^2505776768 is an apocalyptic number.

It is an amenable number.

2505776768 is an abundant number, since it is smaller than the sum of its proper divisors (3176863552).

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

2505776768 is a wasteful number, since it uses less digits than its factorization.

2505776768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77425 (or 77413 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 53.

The square root of 2505776768 is about 50057.7343474512. The cubic root of 2505776768 is about 1358.2533748694.

The spelling of 2505776768 in words is "two billion, five hundred five million, seven hundred seventy-six thousand, seven hundred sixty-eight".