2164505508 has 72 divisors (see below), whose sum is σ = 6021733536. Its totient is φ = 650092800.

The previous prime is 2164505477. The next prime is 2164505521. The reversal of 2164505508 is 8055054612.

2164505508 is a `hidden beast` number, since 2 + 1 + 645 + 0 + 5 + 5 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20563 + ... + 68933.

It is an arithmetic number, because the mean of its divisors is an integer number (83635188).

Almost surely, 2^2164505508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164505508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010866768).

2164505508 is an abundant number, since it is smaller than the sum of its proper divisors (3857228028).

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

2164505508 is a wasteful number, since it uses less digits than its factorization.

2164505508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48505 (or 48500 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2164505508 is about 46524.2464527906. The cubic root of 2164505508 is about 1293.5589697082.

The spelling of 2164505508 in words is "two billion, one hundred sixty-four million, five hundred five thousand, five hundred eight".