2567089376 has 48 divisors (see below), whose sum is σ = 5190181920. Its totient is φ = 1249105920.

The previous prime is 2567089361. The next prime is 2567089387. The reversal of 2567089376 is 6739807652.

It is a congruent number.

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, 573740 + ... + 578196.

It is an arithmetic number, because the mean of its divisors is an integer number (108128790).

Almost surely, 2^2567089376 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 2567089376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595090960).

2567089376 is an abundant number, since it is smaller than the sum of its proper divisors (2623092544).

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

2567089376 is a wasteful number, since it uses less digits than its factorization.

2567089376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4947 (or 4939 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 53.

The square root of 2567089376 is about 50666.4521749846. The cubic root of 2567089376 is about 1369.2423708041.

The spelling of 2567089376 in words is "two billion, five hundred sixty-seven million, eighty-nine thousand, three hundred seventy-six".