2566920 has 32 divisors (see below), whose sum is σ = 7701120. Its totient is φ = 684480.

The previous prime is 2566909. The next prime is 2566931. The reversal of 2566920 is 296652.

It is an interprime number because it is at equal distance from previous prime (2566909) and next prime (2566931).

It is a Smith number, since the sum of its digits (30) 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 (30).

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, 10576 + ... + 10815.

It is an arithmetic number, because the mean of its divisors is an integer number (240660).

2^2566920 is an apocalyptic number.

2566920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2566920 is an abundant number, since it is smaller than the sum of its proper divisors (5134200).

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

2566920 is a wasteful number, since it uses less digits than its factorization.

2566920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21405 (or 21401 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2566920 is about 1602.1610405949. The cubic root of 2566920 is about 136.9212256037.

It can be divided in two parts, 2566 and 920, that added together give a triangular number (3486 = T₈₃).

The spelling of 2566920 in words is "two million, five hundred sixty-six thousand, nine hundred twenty".