2564340213 has 16 divisors (see below), whose sum is σ = 3473712000. Its totient is φ = 1682475840.

The previous prime is 2564340211. The next prime is 2564340281. The reversal of 2564340213 is 3120434652.

It is not a de Polignac number, because 2564340213 - 2¹ = 2564340211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564340211) 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, 22408 + ... + 75038.

It is an arithmetic number, because the mean of its divisors is an integer number (217107000).

Almost surely, 2^2564340213 is an apocalyptic number.

It is an amenable number.

2564340213 is a deficient number, since it is larger than the sum of its proper divisors (909371787).

2564340213 is a wasteful number, since it uses less digits than its factorization.

2564340213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52892.

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2564340213 is about 50639.3148946547. The cubic root of 2564340213 is about 1368.7534104208.

Adding to 2564340213 its reverse (3120434652), we get a palindrome (5684774865).

It can be divided in two parts, 25643 and 40213, that added together give a palindrome (65856).

The spelling of 2564340213 in words is "two billion, five hundred sixty-four million, three hundred forty thousand, two hundred thirteen".