2164000164 has 12 divisors (see below), whose sum is σ = 5049333744. Its totient is φ = 721333384.

The previous prime is 2164000151. The next prime is 2164000169. The reversal of 2164000164 is 4610004612.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (2164000169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90166662 + ... + 90166685.

It is an arithmetic number, because the mean of its divisors is an integer number (420777812).

Almost surely, 2^2164000164 is an apocalyptic number.

It is an amenable number.

2164000164 is an abundant number, since it is smaller than the sum of its proper divisors (2885333580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2164000164 is a wasteful number, since it uses less digits than its factorization.

2164000164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180333354 (or 180333352 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2164000164 is about 46518.8151611797. The cubic root of 2164000164 is about 1293.4582934197.

Adding to 2164000164 its reverse (4610004612), we get a palindrome (6774004776).

The spelling of 2164000164 in words is "two billion, one hundred sixty-four million, one hundred sixty-four", and thus it is an aban number.