2564406 has 48 divisors (see below), whose sum is σ = 6192720. Its totient is φ = 786240.

The previous prime is 2564381. The next prime is 2564407. The reversal of 2564406 is 6044652.

It is a happy number.

2564406 is a `hidden beast` number, since 256 + 4 + 406 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2564406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564407) 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, 8986 + ... + 9266.

It is an arithmetic number, because the mean of its divisors is an integer number (129015).

2^2564406 is an apocalyptic number.

2564406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096360).

2564406 is an abundant number, since it is smaller than the sum of its proper divisors (3628314).

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

2564406 is a wasteful number, since it uses less digits than its factorization.

2564406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2564406 is about 1601.3762830765. The cubic root of 2564406 is about 136.8765115239.

The spelling of 2564406 in words is "two million, five hundred sixty-four thousand, four hundred six".