2560491648 has 480 divisors, whose sum is σ = 9077417580. Its totient is φ = 711659520.

The previous prime is 2560491607. The next prime is 2560491671. The reversal of 2560491648 is 8461940652.

2560491648 is a `hidden beast` number, since 2 + 560 + 49 + 1 + 6 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2334049344 + 226442304 = 48312^2 + 15048^2 .

It is a super-2 number, since 2×2560491648² = 13112234958955511808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16308786 + ... + 16308942.

Almost surely, 2^2560491648 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 2560491648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538708790).

2560491648 is an abundant number, since it is smaller than the sum of its proper divisors (6516925932).

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

2560491648 is a wasteful number, since it uses less digits than its factorization.

2560491648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2560491648 is about 50601.3008528437. The cubic root of 2560491648 is about 1368.0683253039.

The spelling of 2560491648 in words is "two billion, five hundred sixty million, four hundred ninety-one thousand, six hundred forty-eight".