2183768720 has 80 divisors (see below), whose sum is σ = 5882183040. Its totient is φ = 738450432.

The previous prime is 2183768693. The next prime is 2183768723. The reversal of 2183768720 is 278673812.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2183768723) 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 15 ways as a sum of consecutive naturals, for example, 14171 + ... + 67589.

It is an arithmetic number, because the mean of its divisors is an integer number (73527288).

Almost surely, 2^2183768720 is an apocalyptic number.

2183768720 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 2183768720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941091520).

2183768720 is an abundant number, since it is smaller than the sum of its proper divisors (3698414320).

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

2183768720 is a wasteful number, since it uses less digits than its factorization.

2183768720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53512 (or 53506 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The square root of 2183768720 is about 46730.8112491106. The cubic root of 2183768720 is about 1297.3850235274.

The spelling of 2183768720 in words is "two billion, one hundred eighty-three million, seven hundred sixty-eight thousand, seven hundred twenty".