2564346436 has 24 divisors (see below), whose sum is σ = 4754083320. Its totient is φ = 1206116352.

The previous prime is 2564346427. The next prime is 2564346493. The reversal of 2564346436 is 6346434652.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1003622400 + 1560724036 = 31680^2 + 39506^2 .

It is a super-3 number, since 3×2564346436³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2564346392 and 2564346401.

It is an unprimeable number.

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, 135916 + ... + 153628.

It is an arithmetic number, because the mean of its divisors is an integer number (198086805).

Almost surely, 2^2564346436 is an apocalyptic number.

It is an amenable number.

2564346436 is a deficient number, since it is larger than the sum of its proper divisors (2189736884).

2564346436 is a wasteful number, since it uses less digits than its factorization.

2564346436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19863 (or 19861 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 43.

The square root of 2564346436 is about 50639.3763389716. The cubic root of 2564346436 is about 1368.7545176251.

The spelling of 2564346436 in words is "two billion, five hundred sixty-four million, three hundred forty-six thousand, four hundred thirty-six".