2109791700 has 108 divisors (see below), whose sum is σ = 6642067068. Its totient is φ = 560140800.

The previous prime is 2109791693. The next prime is 2109791737. The reversal of 2109791700 is 71979012.

It can be written as a sum of positive squares in 6 ways, for example, as 144288144 + 1965503556 = 12012^2 + 44334^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204670 + ... + 214730.

It is an arithmetic number, because the mean of its divisors is an integer number (61500621).

Almost surely, 2^2109791700 is an apocalyptic number.

2109791700 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 2109791700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321033534).

2109791700 is an abundant number, since it is smaller than the sum of its proper divisors (4532275368).

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

2109791700 is a wasteful number, since it uses less digits than its factorization.

2109791700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10314 (or 10304 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 2109791700 is about 45932.4689081700. The cubic root of 2109791700 is about 1282.5664044593.

The spelling of 2109791700 in words is "two billion, one hundred nine million, seven hundred ninety-one thousand, seven hundred".