2568820 has 48 divisors (see below), whose sum is σ = 5765760. Its totient is φ = 959616.

The previous prime is 2568817. The next prime is 2568823. The reversal of 2568820 is 288652.

2568820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2568817) and next prime (2568823).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24889 + ... + 24991.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

2^2568820 is an apocalyptic number.

2568820 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 2568820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880).

2568820 is an abundant number, since it is smaller than the sum of its proper divisors (3196940).

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

2568820 is a wasteful number, since it uses less digits than its factorization.

2568820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2568820 is about 1602.7538800452. The cubic root of 2568820 is about 136.9549996946.

The spelling of 2568820 in words is "two million, five hundred sixty-eight thousand, eight hundred twenty".