2567795776 has 112 divisors (see below), whose sum is σ = 6351869440. Its totient is φ = 1002792960.

The previous prime is 2567795773. The next prime is 2567795801. The reversal of 2567795776 is 6775977652.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2567795771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457306 + ... + 462886.

It is an arithmetic number, because the mean of its divisors is an integer number (56713120).

Almost surely, 2^2567795776 is an apocalyptic number.

2567795776 is a gapful number since it is divisible by the number (26) 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 2567795776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175934720).

2567795776 is an abundant number, since it is smaller than the sum of its proper divisors (3784073664).

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

2567795776 is a wasteful number, since it uses less digits than its factorization.

2567795776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5682 counting only the distinct ones).

The product of its digits is 38896200, while the sum is 61.

The square root of 2567795776 is about 50673.4227776257. The cubic root of 2567795776 is about 1369.3679532522.

The spelling of 2567795776 in words is "two billion, five hundred sixty-seven million, seven hundred ninety-five thousand, seven hundred seventy-six".