2564205 has 16 divisors (see below), whose sum is σ = 4689024. Its totient is φ = 1172160.

The previous prime is 2564203. The next prime is 2564207. The reversal of 2564205 is 5024652.

It is an interprime number because it is at equal distance from previous prime (2564203) and next prime (2564207).

It is not a de Polignac number, because 2564205 - 2¹ = 2564203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564203) 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, 12106 + ... + 12315.

It is an arithmetic number, because the mean of its divisors is an integer number (293064).

2^2564205 is an apocalyptic number.

It is an amenable number.

2564205 is a deficient number, since it is larger than the sum of its proper divisors (2124819).

2564205 is a wasteful number, since it uses less digits than its factorization.

2564205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24436.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2564205 is about 1601.3135233301. The cubic root of 2564205 is about 136.8729352705.

Adding to 2564205 its reverse (5024652), we get a palindrome (7588857).

The spelling of 2564205 in words is "two million, five hundred sixty-four thousand, two hundred five".