2560825560 has 128 divisors (see below), whose sum is σ = 7965941760. Its totient is φ = 658099200.

The previous prime is 2560825517. The next prime is 2560825573. The reversal of 2560825560 is 655280652.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405225 + ... + 411495.

It is an arithmetic number, because the mean of its divisors is an integer number (62233920).

Almost surely, 2^2560825560 is an apocalyptic number.

2560825560 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 2560825560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982970880).

2560825560 is an abundant number, since it is smaller than the sum of its proper divisors (5405116200).

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

2560825560 is a wasteful number, since it uses less digits than its factorization.

2560825560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 2560825560 is about 50604.6001861491. The cubic root of 2560825560 is about 1368.1277923435.

The spelling of 2560825560 in words is "two billion, five hundred sixty million, eight hundred twenty-five thousand, five hundred sixty".