2561683264 has 112 divisors (see below), whose sum is σ = 6044631040. Its totient is φ = 1054010880.

The previous prime is 2561683237. The next prime is 2561683273. The reversal of 2561683264 is 4623861652.

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

It is a super-2 number, since 2×2561683264² = 13124442290115387392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2561683264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929769 + ... + 1931095.

It is an arithmetic number, because the mean of its divisors is an integer number (53969920).

Almost surely, 2^2561683264 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 2561683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022315520).

2561683264 is an abundant number, since it is smaller than the sum of its proper divisors (3482947776).

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

2561683264 is a wasteful number, since it uses less digits than its factorization.

2561683264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1506 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 2561683264 is about 50613.0740421880. The cubic root of 2561683264 is about 1368.2805188332.

The spelling of 2561683264 in words is "two billion, five hundred sixty-one million, six hundred eighty-three thousand, two hundred sixty-four".