2109813200 has 120 divisors (see below), whose sum is σ = 5820892320. Its totient is φ = 726796800.

The previous prime is 2109813197. The next prime is 2109813217. The reversal of 2109813200 is 23189012.

It is a self number, because there is not a number n which added to its sum of digits gives 2109813200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70982 + ... + 96218.

It is an arithmetic number, because the mean of its divisors is an integer number (48507436).

Almost surely, 2^2109813200 is an apocalyptic number.

2109813200 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 2109813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910446160).

2109813200 is an abundant number, since it is smaller than the sum of its proper divisors (3711079120).

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

2109813200 is a wasteful number, since it uses less digits than its factorization.

2109813200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25285 (or 25274 counting only the distinct ones).

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

The square root of 2109813200 is about 45932.7029468112. The cubic root of 2109813200 is about 1282.5707611428.

The spelling of 2109813200 in words is "two billion, one hundred nine million, eight hundred thirteen thousand, two hundred".