2560666464 has 72 divisors (see below), whose sum is σ = 7516821312. Its totient is φ = 826018560.

The previous prime is 2560666457. The next prime is 2560666481. The reversal of 2560666464 is 4646660652.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-4 number, since 4×2560666464⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134479 + ... + 152334.

It is an arithmetic number, because the mean of its divisors is an integer number (104400296).

Almost surely, 2^2560666464 is an apocalyptic number.

2560666464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2560666464 is an abundant number, since it is smaller than the sum of its proper divisors (4956154848).

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

2560666464 is a wasteful number, since it uses less digits than its factorization.

2560666464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286860 (or 286849 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 2560666464 is about 50603.0282097821. The cubic root of 2560666464 is about 1368.0994592712.

The spelling of 2560666464 in words is "two billion, five hundred sixty million, six hundred sixty-six thousand, four hundred sixty-four".