2560680 has 64 divisors (see below), whose sum is σ = 8539200. Its totient is φ = 682560.

The previous prime is 2560669. The next prime is 2560697. The reversal of 2560680 is 860652.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 106 + ... + 2265.

It is an arithmetic number, because the mean of its divisors is an integer number (133425).

2^2560680 is an apocalyptic number.

2560680 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 2560680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269600).

2560680 is an abundant number, since it is smaller than the sum of its proper divisors (5978520).

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

2560680 is a wasteful number, since it uses less digits than its factorization.

2560680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2560680 is about 1600.2124858905. The cubic root of 2560680 is about 136.8101869915.

It can be divided in two parts, 2560 and 680, that added together give a triangular number (3240 = T₈₀).

The spelling of 2560680 in words is "two million, five hundred sixty thousand, six hundred eighty".