2099059200 has 720 divisors, whose sum is σ = 9102899520. Its totient is φ = 451215360.

The previous prime is 2099059169. The next prime is 2099059213. The reversal of 2099059200 is 29509902.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 15321532 + ... + 15321668.

It is an arithmetic number, because the mean of its divisors is an integer number (12642916).

Almost surely, 2^2099059200 is an apocalyptic number.

2099059200 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 2099059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551449760).

2099059200 is an abundant number, since it is smaller than the sum of its proper divisors (7003840320).

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

2099059200 is a wasteful number, since it uses less digits than its factorization.

2099059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 2099059200 is about 45815.4908300675. The cubic root of 2099059200 is about 1280.3879032676.

The spelling of 2099059200 in words is "two billion, ninety-nine million, fifty-nine thousand, two hundred".