2099217883200 has 336 divisors, whose sum is σ = 6925985518080. Its totient is φ = 556647137280.

The previous prime is 2099217883151. The next prime is 2099217883201. The reversal of 2099217883200 is 23887129902.

It is a super-2 number, since 2×2099217883200² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2099217883201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719648142 + ... + 719651058.

Almost surely, 2^{2099217883200} is an apocalyptic number.

2099217883200 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 2099217883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462992759040).

2099217883200 is an abundant number, since it is smaller than the sum of its proper divisors (4826767634880).

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

2099217883200 is a wasteful number, since it uses less digits than its factorization.

2099217883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 2099217883200 in words is "two trillion, ninety-nine billion, two hundred seventeen million, eight hundred eighty-three thousand, two hundred".