2560465728 has 168 divisors, whose sum is σ = 7738567200. Its totient is φ = 839185920.

The previous prime is 2560465711. The next prime is 2560465753. The reversal of 2560465728 is 8275640652.

2560465728 is a `hidden beast` number, since 2 + 560 + 4 + 65 + 7 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947323 + ... + 950021.

It is an arithmetic number, because the mean of its divisors is an integer number (46062900).

Almost surely, 2^2560465728 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 2560465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869283600).

2560465728 is an abundant number, since it is smaller than the sum of its proper divisors (5178101472).

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

2560465728 is an equidigital number, since it uses as much as digits as its factorization.

2560465728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2560465728 is about 50601.0447322978. The cubic root of 2560465728 is about 1368.0637089443.

The spelling of 2560465728 in words is "two billion, five hundred sixty million, four hundred sixty-five thousand, seven hundred twenty-eight".