2152591584 has 192 divisors, whose sum is σ = 6868592640. Its totient is φ = 581253120.

The previous prime is 2152591543. The next prime is 2152591589. The reversal of 2152591584 is 4851952512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152591589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395409 + ... + 400815.

It is an arithmetic number, because the mean of its divisors is an integer number (35773920).

Almost surely, 2^2152591584 is an apocalyptic number.

2152591584 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 2152591584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434296320).

2152591584 is an abundant number, since it is smaller than the sum of its proper divisors (4716001056).

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

2152591584 is a wasteful number, since it uses less digits than its factorization.

2152591584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5473 (or 5465 counting only the distinct ones).

The product of its digits is 144000, while the sum is 42.

The square root of 2152591584 is about 46396.0298301482. The cubic root of 2152591584 is about 1291.1812555916.

The spelling of 2152591584 in words is "two billion, one hundred fifty-two million, five hundred ninety-one thousand, five hundred eighty-four".