2109784320 has 1008 divisors, whose sum is σ = 9651277440. Its totient is φ = 429981696.

The previous prime is 2109784279. The next prime is 2109784321. The reversal of 2109784320 is 234879012.

2109784320 is a `hidden beast` number, since 210 + 9 + 7 + 8 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (2109784321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 111041271 + ... + 111041289.

It is an arithmetic number, because the mean of its divisors is an integer number (9574680).

Almost surely, 2^2109784320 is an apocalyptic number.

2109784320 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 2109784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825638720).

2109784320 is an abundant number, since it is smaller than the sum of its proper divisors (7541493120).

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

2109784320 is an equidigital number, since it uses as much as digits as its factorization.

2109784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2109784320 is about 45932.3885727707. The cubic root of 2109784320 is about 1282.5649089955.

The spelling of 2109784320 in words is "two billion, one hundred nine million, seven hundred eighty-four thousand, three hundred twenty".