2564712719 has 2 divisors, whose sum is σ = 2564712720. Its totient is φ = 2564712718.

The previous prime is 2564712679. The next prime is 2564712743. The reversal of 2564712719 is 9172174652.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2564712719 - 2²⁰ = 2563664143 is a prime.

It is a super-2 number, since 2×2564712719² = 13155502662000745922, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2564712719.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2564712919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282356359 + 1282356360.

It is an arithmetic number, because the mean of its divisors is an integer number (1282356360).

Almost surely, 2^2564712719 is an apocalyptic number.

2564712719 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564712719 is an equidigital number, since it uses as much as digits as its factorization.

2564712719 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 211680, while the sum is 44.

The square root of 2564712719 is about 50642.9927926855. The cubic root of 2564712719 is about 1368.8196840206.

The spelling of 2564712719 in words is "two billion, five hundred sixty-four million, seven hundred twelve thousand, seven hundred nineteen".