2099791200 has 432 divisors, whose sum is σ = 7685508096. Its totient is φ = 497203200.

The previous prime is 2099791163. The next prime is 2099791207. The reversal of 2099791200 is 21979902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099791207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12573517 + ... + 12573683.

It is an arithmetic number, because the mean of its divisors is an integer number (17790528).

Almost surely, 2^2099791200 is an apocalyptic number.

2099791200 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 2099791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842754048).

2099791200 is an abundant number, since it is smaller than the sum of its proper divisors (5585716896).

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

2099791200 is a wasteful number, since it uses less digits than its factorization.

2099791200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

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

The square root of 2099791200 is about 45823.4786981521. The cubic root of 2099791200 is about 1280.5367215284.

The spelling of 2099791200 in words is "two billion, ninety-nine million, seven hundred ninety-one thousand, two hundred".