2564228833280 has 112 divisors (see below), whose sum is σ = 6208242959664. Its totient is φ = 1016612782080.

The previous prime is 2564228833279. The next prime is 2564228833321. The reversal of 2564228833280 is 823388224652.

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, 4351475 + ... + 4905485.

Almost surely, 2^{2564228833280} is an apocalyptic number.

2564228833280 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 2564228833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104121479832).

2564228833280 is an abundant number, since it is smaller than the sum of its proper divisors (3644014126384).

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

2564228833280 is an equidigital number, since it uses as much as digits as its factorization.

2564228833280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554155 (or 554131 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 53.

The spelling of 2564228833280 in words is "two trillion, five hundred sixty-four billion, two hundred twenty-eight million, eight hundred thirty-three thousand, two hundred eighty".