2564672719 has 8 divisors (see below), whose sum is σ = 2971206560. Its totient is φ = 2168176896.

The previous prime is 2564672701. The next prime is 2564672731. The reversal of 2564672719 is 9172764652.

It is a happy number.

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 2564672719 - 2¹³ = 2564664527 is a prime.

It is a super-2 number, since 2×2564672719² = 13155092311165705922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564672419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2508954 + ... + 2509975.

It is an arithmetic number, because the mean of its divisors is an integer number (371400820).

Almost surely, 2^2564672719 is an apocalyptic number.

2564672719 is a deficient number, since it is larger than the sum of its proper divisors (406533841).

2564672719 is an equidigital number, since it uses as much as digits as its factorization.

2564672719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019009.

The product of its digits is 1270080, while the sum is 49.

The square root of 2564672719 is about 50642.5978697776. The cubic root of 2564672719 is about 1368.8125678147.

The spelling of 2564672719 in words is "two billion, five hundred sixty-four million, six hundred seventy-two thousand, seven hundred nineteen".