2565680 has 40 divisors (see below), whose sum is σ = 6426672. Its totient is φ = 946944.

The previous prime is 2565679. The next prime is 2565701. The reversal of 2565680 is 865652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194 + ... + 2273.

2^2565680 is an apocalyptic number.

2565680 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 2565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213336).

2565680 is an abundant number, since it is smaller than the sum of its proper divisors (3860992).

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

2565680 is a wasteful number, since it uses less digits than its factorization.

2565680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2565680 is about 1601.7740165204. The cubic root of 2565680 is about 136.8991745768.

The spelling of 2565680 in words is "two million, five hundred sixty-five thousand, six hundred eighty".