2161765000 has 80 divisors (see below), whose sum is σ = 5173344000. Its totient is φ = 846216000.

The previous prime is 2161764991. The next prime is 2161765003. The reversal of 2161765000 is 5671612.

It is a self number, because there is not a number n which added to its sum of digits gives 2161765000.

It is not an unprimeable number, because it can be changed into a prime (2161765003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230401 + ... + 239599.

It is an arithmetic number, because the mean of its divisors is an integer number (64666800).

Almost surely, 2^2161765000 is an apocalyptic number.

2161765000 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 2161765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586672000).

2161765000 is an abundant number, since it is smaller than the sum of its proper divisors (3011579000).

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

2161765000 is an equidigital number, since it uses as much as digits as its factorization.

2161765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9272 (or 9253 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 2161765000 is about 46494.7846537652. The cubic root of 2161765000 is about 1293.0128086455.

The spelling of 2161765000 in words is "two billion, one hundred sixty-one million, seven hundred sixty-five thousand".