2179984464 has 120 divisors (see below), whose sum is σ = 7027804160. Its totient is φ = 617912064.

The previous prime is 2179984441. The next prime is 2179984481. The reversal of 2179984464 is 4644899712.

2179984464 is a `hidden beast` number, since 2 + 17 + 99 + 84 + 464 = 666.

2179984464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2179984464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119502 + ... + 136530.

Almost surely, 2^2179984464 is an apocalyptic number.

2179984464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2179984464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513902080).

2179984464 is an abundant number, since it is smaller than the sum of its proper divisors (4847819696).

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

2179984464 is a wasteful number, since it uses less digits than its factorization.

2179984464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17177 (or 17168 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2179984464 is about 46690.3037471379. The cubic root of 2179984464 is about 1296.6351767571.

The spelling of 2179984464 in words is "two billion, one hundred seventy-nine million, nine hundred eighty-four thousand, four hundred sixty-four".