2149072900 has 144 divisors (see below), whose sum is σ = 5328408960. Its totient is φ = 745804800.

The previous prime is 2149072897. The next prime is 2149072907. The reversal of 2149072900 is 92709412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2149072907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4124640 + ... + 4125160.

It is an arithmetic number, because the mean of its divisors is an integer number (37002840).

Almost surely, 2^2149072900 is an apocalyptic number.

2149072900 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 2149072900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664204480).

2149072900 is an abundant number, since it is smaller than the sum of its proper divisors (3179336060).

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

2149072900 is a wasteful number, since it uses less digits than its factorization.

2149072900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 2149072900 is about 46358.0942231235. The cubic root of 2149072900 is about 1290.4773387222.

The spelling of 2149072900 in words is "two billion, one hundred forty-nine million, seventy-two thousand, nine hundred".