2562891264 has 120 divisors (see below), whose sum is σ = 7486911432. Its totient is φ = 843878400.

The previous prime is 2562891251. The next prime is 2562891277. The reversal of 2562891264 is 4621982652.

2562891264 is a `hidden beast` number, since 2 + 5 + 628 + 9 + 12 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2562891251) and next prime (2562891277).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 379114 + ... + 385814.

Almost surely, 2^2562891264 is an apocalyptic number.

2562891264 is a gapful number since it is divisible by the number (24) 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 2562891264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743455716).

2562891264 is an abundant number, since it is smaller than the sum of its proper divisors (4924020168).

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

2562891264 is an equidigital number, since it uses as much as digits as its factorization.

2562891264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6808 (or 6789 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2562891264 is about 50625.0063111107. The cubic root of 2562891264 is about 1368.4955627387.

The spelling of 2562891264 in words is "two billion, five hundred sixty-two million, eight hundred ninety-one thousand, two hundred sixty-four".