2560494240 has 120 divisors (see below), whose sum is σ = 9036456660. Its totient is φ = 682795008.

The previous prime is 2560494227. The next prime is 2560494263. The reversal of 2560494240 is 424940652.

2560494240 is a `hidden beast` number, since 2 + 5 + 604 + 9 + 4 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2478844944 + 81649296 = 49788^2 + 9036^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2560494240² = 13112261506146355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2560494195 and 2560494204.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85825 + ... + 111744.

Almost surely, 2^2560494240 is an apocalyptic number.

2560494240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2560494240 is an abundant number, since it is smaller than the sum of its proper divisors (6475962420).

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

2560494240 is a wasteful number, since it uses less digits than its factorization.

2560494240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197596 (or 197579 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2560494240 is about 50601.3264648270. The cubic root of 2560494240 is about 1368.0687869382.

The spelling of 2560494240 in words is "two billion, five hundred sixty million, four hundred ninety-four thousand, two hundred forty".