2153892384 has 240 divisors, whose sum is σ = 7666420608. Its totient is φ = 579115008.

The previous prime is 2153892347. The next prime is 2153892397. The reversal of 2153892384 is 4832983512.

2153892384 is a `hidden beast` number, since 21 + 538 + 92 + 3 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 304957 + ... + 311939.

Almost surely, 2^2153892384 is an apocalyptic number.

2153892384 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 2153892384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833210304).

2153892384 is an abundant number, since it is smaller than the sum of its proper divisors (5512528224).

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

2153892384 is a wasteful number, since it uses less digits than its factorization.

2153892384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029 (or 7012 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2153892384 is about 46410.0461538232. The cubic root of 2153892384 is about 1291.4412879460.

The spelling of 2153892384 in words is "two billion, one hundred fifty-three million, eight hundred ninety-two thousand, three hundred eighty-four".