2564338456 has 32 divisors (see below), whose sum is σ = 4977126000. Its totient is φ = 1237161856.

The previous prime is 2564338451. The next prime is 2564338489. The reversal of 2564338456 is 6548334652.

It is a super-3 number, since 3×2564338456³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564338451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 533295 + ... + 538081.

Almost surely, 2^2564338456 is an apocalyptic number.

It is an amenable number.

2564338456 is a deficient number, since it is larger than the sum of its proper divisors (2412787544).

2564338456 is a wasteful number, since it uses less digits than its factorization.

2564338456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7127 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 46.

The square root of 2564338456 is about 50639.2975464708. The cubic root of 2564338456 is about 1368.7530978127.

The spelling of 2564338456 in words is "two billion, five hundred sixty-four million, three hundred thirty-eight thousand, four hundred fifty-six".