2164084767 has 24 divisors (see below), whose sum is σ = 3370230864. Its totient is φ = 1330210944.

The previous prime is 2164084763. The next prime is 2164084787. The reversal of 2164084767 is 7674804612.

It is not a de Polignac number, because 2164084767 - 2² = 2164084763 is a prime.

It is a super-2 number, since 2×2164084767² = 9366525757522888578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164084763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95923 + ... + 116315.

It is an arithmetic number, because the mean of its divisors is an integer number (140426286).

Almost surely, 2^2164084767 is an apocalyptic number.

2164084767 is a deficient number, since it is larger than the sum of its proper divisors (1206146097).

2164084767 is a wasteful number, since it uses less digits than its factorization.

2164084767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21319 (or 21316 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2164084767 is about 46519.7244940251. The cubic root of 2164084767 is about 1293.4751493990.

The spelling of 2164084767 in words is "two billion, one hundred sixty-four million, eighty-four thousand, seven hundred sixty-seven".