2560461320 has 32 divisors (see below), whose sum is σ = 5773685400. Its totient is φ = 1021936128.

The previous prime is 2560461271. The next prime is 2560461329. The reversal of 2560461320 is 231640652.

It can be written as a sum of positive squares in 4 ways, for example, as 2521847524 + 38613796 = 50218^2 + 6214^2 .

It is a super-2 number, since 2×2560461320² = 13111924342432284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2560461329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51755 + ... + 88314.

Almost surely, 2^2560461320 is an apocalyptic number.

2560461320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2560461320 is an abundant number, since it is smaller than the sum of its proper divisors (3213224080).

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

2560461320 is a wasteful number, since it uses less digits than its factorization.

2560461320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140537 (or 140533 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2560461320 is about 50601.0011758661. The cubic root of 2560461320 is about 1368.0629238751.

The spelling of 2560461320 in words is "two billion, five hundred sixty million, four hundred sixty-one thousand, three hundred twenty".