2187984384 has 120 divisors (see below), whose sum is σ = 6334579680. Its totient is φ = 727031808.

The previous prime is 2187984377. The next prime is 2187984389. The reversal of 2187984384 is 4834897812.

It is a happy number.

2187984384 is a `hidden beast` number, since 2 + 187 + 9 + 84 + 384 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2187984384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2187984389) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2105337 + ... + 2106375.

It is an arithmetic number, because the mean of its divisors is an integer number (52788164).

Almost surely, 2^2187984384 is an apocalyptic number.

2187984384 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 2187984384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167289840).

2187984384 is an abundant number, since it is smaller than the sum of its proper divisors (4146595296).

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

2187984384 is a wasteful number, since it uses less digits than its factorization.

2187984384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1501 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 2187984384 is about 46775.8953308218. The cubic root of 2187984384 is about 1298.2193340510.

The spelling of 2187984384 in words is "two billion, one hundred eighty-seven million, nine hundred eighty-four thousand, three hundred eighty-four".