2560480580880 has 120 divisors (see below), whose sum is σ = 8684085622680. Its totient is φ = 676034457600.

The previous prime is 2560480580863. The next prime is 2560480580899. The reversal of 2560480580880 is 880850840652.

It is a happy number.

2560480580880 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 480 + 5 + 80 + 8 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 339045340176 + 2221435240704 = 582276^2 + 1490448^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 17532345 + ... + 17677784.

It is an arithmetic number, because the mean of its divisors is an integer number (72367380189).

Almost surely, 2^{2560480580880} is an apocalyptic number.

2560480580880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2560480580880 is an abundant number, since it is smaller than the sum of its proper divisors (6123605041800).

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

2560480580880 is a wasteful number, since it uses less digits than its factorization.

2560480580880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35210249 (or 35210240 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 2560480580880 in words is "two trillion, five hundred sixty billion, four hundred eighty million, five hundred eighty thousand, eight hundred eighty".