2566980 has 72 divisors (see below), whose sum is σ = 8393112. Its totient is φ = 631296.

The previous prime is 2566939. The next prime is 2566981. The reversal of 2566980 is 896652.

2566980 is a `hidden beast` number, since 2 + 566 + 98 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 2566404 = 24^2 + 1602^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1792 + ... + 2888.

It is an arithmetic number, because the mean of its divisors is an integer number (116571).

2^2566980 is an apocalyptic number.

2566980 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 2566980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196556).

2566980 is an abundant number, since it is smaller than the sum of its proper divisors (5826132).

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

2566980 is a wasteful number, since it uses less digits than its factorization.

2566980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2566980 is about 1602.1797651949. The cubic root of 2566980 is about 136.9222924087.

The spelling of 2566980 in words is "two million, five hundred sixty-six thousand, nine hundred eighty".