2564407 has 2 divisors, whose sum is σ = 2564408. Its totient is φ = 2564406.

The previous prime is 2564381. The next prime is 2564423. The reversal of 2564407 is 7044652.

2564407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2564407 - 2⁷ = 2564279 is a prime.

It is equal to p₁₈₇₄₄₄ and since 2564407 and 187444 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564447) 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 as a sum of consecutive naturals, namely, 1282203 + 1282204.

It is an arithmetic number, because the mean of its divisors is an integer number (1282204).

2^2564407 is an apocalyptic number.

2564407 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564407 is an equidigital number, since it uses as much as digits as its factorization.

2564407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2564407 is about 1601.3765953079. The cubic root of 2564407 is about 136.8765293158.

The spelling of 2564407 in words is "two million, five hundred sixty-four thousand, four hundred seven".