2565440003280 has 640 divisors, whose sum is σ = 10009879326720. Its totient is φ = 528009707520.

The previous prime is 2565440003213. The next prime is 2565440003323. The reversal of 2565440003280 is 823000445652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1567158622 + ... + 1567160258.

It is an arithmetic number, because the mean of its divisors is an integer number (15640436448).

Almost surely, 2^{2565440003280} is an apocalyptic number.

2565440003280 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 2565440003280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004939663360).

2565440003280 is an abundant number, since it is smaller than the sum of its proper divisors (7444439323440).

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

2565440003280 is a wasteful number, since it uses less digits than its factorization.

2565440003280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 2565440003280 in words is "two trillion, five hundred sixty-five billion, four hundred forty million, three thousand, two hundred eighty".