2164872384 has 84 divisors (see below), whose sum is σ = 6269348904. Its totient is φ = 714166272.

The previous prime is 2164872377. The next prime is 2164872421. The reversal of 2164872384 is 4832784612.

It is a happy number.

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, 36499 + ... + 75245.

It is an arithmetic number, because the mean of its divisors is an integer number (74635106).

Almost surely, 2^2164872384 is an apocalyptic number.

2164872384 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 2164872384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134674452).

2164872384 is an abundant number, since it is smaller than the sum of its proper divisors (4104476520).

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

2164872384 is a wasteful number, since it uses less digits than its factorization.

2164872384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38862 (or 38849 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2164872384 is about 46528.1891330406. The cubic root of 2164872384 is about 1293.6320501305.

The spelling of 2164872384 in words is "two billion, one hundred sixty-four million, eight hundred seventy-two thousand, three hundred eighty-four".