2560941680 has 80 divisors (see below), whose sum is σ = 6671117664. Its totient is φ = 906071040.

The previous prime is 2560941679. The next prime is 2560941697. The reversal of 2560941680 is 861490652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2560941680² = 13116844576722444800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6767 + ... + 71886.

Almost surely, 2^2560941680 is an apocalyptic number.

2560941680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335558832).

2560941680 is an abundant number, since it is smaller than the sum of its proper divisors (4110175984).

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

2560941680 is a wasteful number, since it uses less digits than its factorization.

2560941680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78714 (or 78708 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 2560941680 is about 50605.7474996665. The cubic root of 2560941680 is about 1368.1484711694.

The spelling of 2560941680 in words is "two billion, five hundred sixty million, nine hundred forty-one thousand, six hundred eighty".