2182106664 has 48 divisors (see below), whose sum is σ = 5914228320. Its totient is φ = 726832800.

The previous prime is 2182106629. The next prime is 2182106671. The reversal of 2182106664 is 4666012812.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94029 + ... + 114915.

It is an arithmetic number, because the mean of its divisors is an integer number (123213090).

Almost surely, 2^2182106664 is an apocalyptic number.

2182106664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2182106664 is an abundant number, since it is smaller than the sum of its proper divisors (3732121656).

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

2182106664 is a wasteful number, since it uses less digits than its factorization.

2182106664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22350 (or 22343 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2182106664 is about 46713.0245648898. The cubic root of 2182106664 is about 1297.0557954623.

The spelling of 2182106664 in words is "two billion, one hundred eighty-two million, one hundred six thousand, six hundred sixty-four".