2164142520 has 96 divisors (see below), whose sum is σ = 7039206720. Its totient is φ = 576633600.

The previous prime is 2164142509. The next prime is 2164142521. The reversal of 2164142520 is 252414612.

2164142520 is a `hidden beast` number, since 216 + 4 + 1 + 425 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164142521) 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, 845082 + ... + 847638.

It is an arithmetic number, because the mean of its divisors is an integer number (73325070).

Almost surely, 2^2164142520 is an apocalyptic number.

2164142520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164142520 is an abundant number, since it is smaller than the sum of its proper divisors (4875064200).

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

2164142520 is a wasteful number, since it uses less digits than its factorization.

2164142520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925 (or 4918 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2164142520 is about 46520.3452265780. The cubic root of 2164142520 is about 1293.4866556343.

The spelling of 2164142520 in words is "two billion, one hundred sixty-four million, one hundred forty-two thousand, five hundred twenty".