2564820 has 36 divisors (see below), whose sum is σ = 7780500. Its totient is φ = 683904.

The previous prime is 2564819. The next prime is 2564831. The reversal of 2564820 is 284652.

2564820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 1153476 = 1188^2 + 1074^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6945 + ... + 7304.

It is an arithmetic number, because the mean of its divisors is an integer number (216125).

2^2564820 is an apocalyptic number.

2564820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564820 is an abundant number, since it is smaller than the sum of its proper divisors (5215680).

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

2564820 is a wasteful number, since it uses less digits than its factorization.

2564820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14264 (or 14259 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2564820 is about 1601.5055416701. The cubic root of 2564820 is about 136.8838769498.

The spelling of 2564820 in words is "two million, five hundred sixty-four thousand, eight hundred twenty".