2604564319 has 32 divisors (see below), whose sum is σ = 3145734144. Its totient is φ = 2110168320.

The previous prime is 2604564301. The next prime is 2604564323. The reversal of 2604564319 is 9134654062.

It is not a de Polignac number, because 2604564319 - 2¹¹ = 2604562271 is a prime.

It is a super-2 number, since 2×2604564319² = 13567510583615867522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2604564379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261482 + ... + 1263544.

It is an arithmetic number, because the mean of its divisors is an integer number (98304192).

Almost surely, 2^2604564319 is an apocalyptic number.

2604564319 is a deficient number, since it is larger than the sum of its proper divisors (541169825).

2604564319 is a wasteful number, since it uses less digits than its factorization.

2604564319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247.

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 2604564319 is about 51034.9323405058. The cubic root of 2604564319 is about 1375.8730444927.

The spelling of 2604564319 in words is "two billion, six hundred four million, five hundred sixty-four thousand, three hundred nineteen".