2164105405 has 64 divisors (see below), whose sum is σ = 3300175872. Its totient is φ = 1323325440.

The previous prime is 2164105393. The next prime is 2164105429. The reversal of 2164105405 is 5045014612.

2164105405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2164105405 - 2⁵ = 2164105373 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6236442 + ... + 6236788.

It is an arithmetic number, because the mean of its divisors is an integer number (51565248).

Almost surely, 2^2164105405 is an apocalyptic number.

It is an amenable number.

2164105405 is a deficient number, since it is larger than the sum of its proper divisors (1136070467).

2164105405 is a wasteful number, since it uses less digits than its factorization.

2164105405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 2164105405 is about 46519.9463133826. The cubic root of 2164105405 is about 1293.4792611688.

The spelling of 2164105405 in words is "two billion, one hundred sixty-four million, one hundred five thousand, four hundred five".