2558680 has 32 divisors (see below), whose sum is σ = 5883840. Its totient is φ = 1000960.

The previous prime is 2558671. The next prime is 2558683. The reversal of 2558680 is 868552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2558683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1200 + ... + 2560.

It is an arithmetic number, because the mean of its divisors is an integer number (183870).

2^2558680 is an apocalyptic number.

2558680 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 2558680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941920).

2558680 is an abundant number, since it is smaller than the sum of its proper divisors (3325160).

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

2558680 is a wasteful number, since it uses less digits than its factorization.

2558680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 2558680 is about 1599.5874468125. The cubic root of 2558680 is about 136.7745595226.

The spelling of 2558680 in words is "two million, five hundred fifty-eight thousand, six hundred eighty".