2120413900 has 72 divisors (see below), whose sum is σ = 5032177920. Its totient is φ = 769128000.

The previous prime is 2120413891. The next prime is 2120413901. The reversal of 2120413900 is 93140212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2120413901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480705 + ... + 485095.

It is an arithmetic number, because the mean of its divisors is an integer number (69891360).

Almost surely, 2^2120413900 is an apocalyptic number.

2120413900 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 2120413900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516088960).

2120413900 is an abundant number, since it is smaller than the sum of its proper divisors (2911764020).

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

2120413900 is a wasteful number, since it uses less digits than its factorization.

2120413900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2120413900 is about 46047.9521803087. The cubic root of 2120413900 is about 1284.7152543232.

The spelling of 2120413900 in words is "two billion, one hundred twenty million, four hundred thirteen thousand, nine hundred".