2120724900 has 324 divisors, whose sum is σ = 8142760080. Its totient is φ = 459043200.

The previous prime is 2120724797. The next prime is 2120724943. The reversal of 2120724900 is 94270212.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 836635 + ... + 839165.

Almost surely, 2^2120724900 is an apocalyptic number.

2120724900 is a gapful number since it is divisible by the number (20) 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 2120724900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071380040).

2120724900 is an abundant number, since it is smaller than the sum of its proper divisors (6022035180).

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

2120724900 is a wasteful number, since it uses less digits than its factorization.

2120724900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2120724900 is about 46051.3289710514. The cubic root of 2120724900 is about 1284.7780607579.

The spelling of 2120724900 in words is "two billion, one hundred twenty million, seven hundred twenty-four thousand, nine hundred".