2118309200 has 360 divisors, whose sum is σ = 6394447872. Its totient is φ = 670602240.

The previous prime is 2118309199. The next prime is 2118309209. The reversal of 2118309200 is 29038112.

It is a self number, because there is not a number n which added to its sum of digits gives 2118309200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118309209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16679537 + ... + 16679663.

Almost surely, 2^2118309200 is an apocalyptic number.

2118309200 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 2118309200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197223936).

2118309200 is an abundant number, since it is smaller than the sum of its proper divisors (4276138672).

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

2118309200 is a wasteful number, since it uses less digits than its factorization.

2118309200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 2118309200 is about 46025.0931557993. The cubic root of 2118309200 is about 1284.2900487657.

The spelling of 2118309200 in words is "two billion, one hundred eighteen million, three hundred nine thousand, two hundred".