2137330624 has 112 divisors (see below), whose sum is σ = 5155204320. Its totient is φ = 865751040.

The previous prime is 2137330621. The next prime is 2137330651. The reversal of 2137330624 is 4260337312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137330621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261382 + ... + 269434.

It is an arithmetic number, because the mean of its divisors is an integer number (46028610).

Almost surely, 2^2137330624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577602160).

2137330624 is an abundant number, since it is smaller than the sum of its proper divisors (3017873696).

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

2137330624 is a wasteful number, since it uses less digits than its factorization.

2137330624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8118 (or 8108 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The square root of 2137330624 is about 46231.2732249502. The cubic root of 2137330624 is about 1288.1227073402.

Adding to 2137330624 its reverse (4260337312), we get a palindrome (6397667936).

The spelling of 2137330624 in words is "two billion, one hundred thirty-seven million, three hundred thirty thousand, six hundred twenty-four".