2456564897 has 8 divisors (see below), whose sum is σ = 2522773512. Its totient is φ = 2390656000.

The previous prime is 2456564863. The next prime is 2456564911. The reversal of 2456564897 is 7984656542.

It can be written as a sum of positive squares in 4 ways, for example, as 895445776 + 1561119121 = 29924^2 + 39511^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2456564897 - 2⁶ = 2456564833 is a prime.

It is a super-2 number, since 2×2456564897² = 12069422186345241218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2456564827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58268 + ... + 91149.

It is an arithmetic number, because the mean of its divisors is an integer number (315346689).

Almost surely, 2^2456564897 is an apocalyptic number.

It is an amenable number.

2456564897 is a deficient number, since it is larger than the sum of its proper divisors (66208615).

2456564897 is a wasteful number, since it uses less digits than its factorization.

2456564897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149859.

The product of its digits is 14515200, while the sum is 56.

The square root of 2456564897 is about 49563.7457926658. The cubic root of 2456564897 is about 1349.3027761405.

The spelling of 2456564897 in words is "two billion, four hundred fifty-six million, five hundred sixty-four thousand, eight hundred ninety-seven".