2120920900 has 108 divisors (see below), whose sum is σ = 5422569600. Its totient is φ = 717837120.

The previous prime is 2120920897. The next prime is 2120920909. The reversal of 2120920900 is 90290212.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2120920909) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384361 + ... + 389839.

Almost surely, 2^2120920900 is an apocalyptic number.

2120920900 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 2120920900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711284800).

2120920900 is an abundant number, since it is smaller than the sum of its proper divisors (3301648700).

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

2120920900 is a wasteful number, since it uses less digits than its factorization.

2120920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 2120920900 is about 46053.4569820768. The cubic root of 2120920900 is about 1284.8176397941.

The spelling of 2120920900 in words is "two billion, one hundred twenty million, nine hundred twenty thousand, nine hundred".