2164904919 has 12 divisors (see below), whose sum is σ = 3203355792. Its totient is φ = 1408068000.

The previous prime is 2164904851. The next prime is 2164904953. The reversal of 2164904919 is 9194094612.

It is not a de Polignac number, because 2164904919 - 2⁸ = 2164904663 is a prime.

It is a super-2 number, since 2×2164904919² = 9373626616620793122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164904419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2933107 + ... + 2933844.

It is an arithmetic number, because the mean of its divisors is an integer number (266946316).

Almost surely, 2^2164904919 is an apocalyptic number.

2164904919 is a deficient number, since it is larger than the sum of its proper divisors (1038450873).

2164904919 is a wasteful number, since it uses less digits than its factorization.

2164904919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866998 (or 5866995 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2164904919 is about 46528.5387584867. The cubic root of 2164904919 is about 1293.6385305907.

The spelling of 2164904919 in words is "two billion, one hundred sixty-four million, nine hundred four thousand, nine hundred nineteen".