2567980791376 has 160 divisors (see below), whose sum is σ = 6703958919168. Its totient is φ = 920284485120.

The previous prime is 2567980791331. The next prime is 2567980791391. The reversal of 2567980791376 is 6731970897652.

2567980791376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2567980791376² (a number of 26 digits) contains 22 as substring.

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, 4249245 + ... + 4815811.

Almost surely, 2^{2567980791376} is an apocalyptic number.

2567980791376 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 2567980791376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351979459584).

2567980791376 is an abundant number, since it is smaller than the sum of its proper divisors (4135978127792).

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

2567980791376 is a wasteful number, since it uses less digits than its factorization.

2567980791376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566889 (or 566883 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 70.

The spelling of 2567980791376 in words is "two trillion, five hundred sixty-seven billion, nine hundred eighty million, seven hundred ninety-one thousand, three hundred seventy-six".