2564331 has 32 divisors (see below), whose sum is σ = 4520448. Its totient is φ = 1251840.

The previous prime is 2564329. The next prime is 2564333. The reversal of 2564331 is 1334652.

It is a happy number.

2564331 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 (2564329) and next prime (2564333).

It is not a de Polignac number, because 2564331 - 2¹ = 2564329 is a prime.

It is a super-2 number, since 2×2564331² = 13151586955122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2564333) 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 31 ways as a sum of consecutive naturals, for example, 3601 + ... + 4253.

It is an arithmetic number, because the mean of its divisors is an integer number (141264).

2^2564331 is an apocalyptic number.

2564331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2564331 is a deficient number, since it is larger than the sum of its proper divisors (1956117).

2564331 is a wasteful number, since it uses less digits than its factorization.

2564331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691.

The product of its digits is 2160, while the sum is 24.

The square root of 2564331 is about 1601.3528655484. The cubic root of 2564331 is about 136.8751771228.

Adding to 2564331 its reverse (1334652), we get a palindrome (3898983).

The spelling of 2564331 in words is "two million, five hundred sixty-four thousand, three hundred thirty-one".