2099284387200 has 5376 divisors, whose sum is σ = 11147886489600. Its totient is φ = 376233984000.

The previous prime is 2099284387159. The next prime is 2099284387241. The reversal of 2099284387200 is 27834829902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2099284387159) and next prime (2099284387241).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 67718851185 + ... + 67718851215.

It is an arithmetic number, because the mean of its divisors is an integer number (2073639600).

Almost surely, 2^{2099284387200} is an apocalyptic number.

2099284387200 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 2099284387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573943244800).

2099284387200 is an abundant number, since it is smaller than the sum of its proper divisors (9048602102400).

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

2099284387200 is a wasteful number, since it uses less digits than its factorization.

2099284387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2099284387200 in words is "two trillion, ninety-nine billion, two hundred eighty-four million, three hundred eighty-seven thousand, two hundred".