2564211 has 16 divisors (see below), whose sum is σ = 3783584. Its totient is φ = 1534464.

The previous prime is 2564207. The next prime is 2564249. The reversal of 2564211 is 1124652.

It is not a de Polignac number, because 2564211 - 2² = 2564207 is a prime.

It is a Duffinian number.

2564211 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555 + ... + 2331.

It is an arithmetic number, because the mean of its divisors is an integer number (236474).

2^2564211 is an apocalyptic number.

2564211 is a deficient number, since it is larger than the sum of its proper divisors (1219373).

2564211 is a wasteful number, since it uses less digits than its factorization.

2564211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830.

The product of its digits is 480, while the sum is 21.

The square root of 2564211 is about 1601.3153967910. The cubic root of 2564211 is about 136.8730420270.

Adding to 2564211 its reverse (1124652), we get a palindrome (3688863).

It can be divided in two parts, 2564 and 211, that added together give a triangular number (2775 = T₇₄).

The spelling of 2564211 in words is "two million, five hundred sixty-four thousand, two hundred eleven".