2190979200 has 192 divisors, whose sum is σ = 7254133920. Its totient is φ = 581222400.

The previous prime is 2190979177. The next prime is 2190979201. The reversal of 2190979200 is 29790912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2190979201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2313127 + ... + 2314073.

Almost surely, 2^2190979200 is an apocalyptic number.

2190979200 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 2190979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627066960).

2190979200 is an abundant number, since it is smaller than the sum of its proper divisors (5063154720).

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

2190979200 is a wasteful number, since it uses less digits than its factorization.

2190979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 2190979200 is about 46807.8967696691. The cubic root of 2190979200 is about 1298.8113790300.

The spelling of 2190979200 in words is "two billion, one hundred ninety million, nine hundred seventy-nine thousand, two hundred".