2120140624 has 100 divisors (see below), whose sum is σ = 4833013460. Its totient is φ = 900910080.

The previous prime is 2120140553. The next prime is 2120140643. The reversal of 2120140624 is 4260410212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1808971024 + 311169600 = 42532^2 + 17640^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2120140595 and 2120140604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8797144 + ... + 8797384.

Almost surely, 2^2120140624 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 2120140624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416506730).

2120140624 is an abundant number, since it is smaller than the sum of its proper divisors (2712872836).

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

2120140624 is an equidigital number, since it uses as much as digits as its factorization.

2120140624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2120140624 is about 46044.9847866193. The cubic root of 2120140624 is about 1284.6600611792.

Adding to 2120140624 its reverse (4260410212), we get a palindrome (6380550836).

The spelling of 2120140624 in words is "two billion, one hundred twenty million, one hundred forty thousand, six hundred twenty-four".