2564184480 has 192 divisors, whose sum is σ = 9489529728. Its totient is φ = 573788160.

The previous prime is 2564184479. The next prime is 2564184529. The reversal of 2564184480 is 844814652.

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, 49962 + ... + 87318.

It is an arithmetic number, because the mean of its divisors is an integer number (49424634).

Almost surely, 2^2564184480 is an apocalyptic number.

2564184480 is a gapful number since it is divisible by the number (20) 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 2564184480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744764864).

2564184480 is an abundant number, since it is smaller than the sum of its proper divisors (6925345248).

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

2564184480 is a wasteful number, since it uses less digits than its factorization.

2564184480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37399 (or 37391 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 2564184480 is about 50637.7772024010. Note that the first 3 decimals coincide. The cubic root of 2564184480 is about 1368.7257016182.

The spelling of 2564184480 in words is "two billion, five hundred sixty-four million, one hundred eighty-four thousand, four hundred eighty".