2009328768 has 160 divisors (see below), whose sum is σ = 6120150960. Its totient is φ = 654054912.

The previous prime is 2009328751. The next prime is 2009328791. The reversal of 2009328768 is 8678239002.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 443571 + ... + 448077.

Almost surely, 2^2009328768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3060075480).

2009328768 is an abundant number, since it is smaller than the sum of its proper divisors (4110822192).

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

2009328768 is an equidigital number, since it uses as much as digits as its factorization.

2009328768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4555 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2009328768 is about 44825.5370073801. The cubic root of 2009328768 is about 1261.8769305756.

The spelling of 2009328768 in words is "two billion, nine million, three hundred twenty-eight thousand, seven hundred sixty-eight".