2009321328 has 80 divisors (see below), whose sum is σ = 5987831040. Its totient is φ = 568716288.

The previous prime is 2009321257. The next prime is 2009321339. The reversal of 2009321328 is 8231239002.

It is a happy number.

It is a super-3 number, since 3×2009321328³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2009321295 and 2009321304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8008 + ... + 63896.

It is an arithmetic number, because the mean of its divisors is an integer number (74847888).

Almost surely, 2^2009321328 is an apocalyptic number.

2009321328 is a gapful number since it is divisible by the number (28) 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 2009321328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993915520).

2009321328 is an abundant number, since it is smaller than the sum of its proper divisors (3978509712).

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

2009321328 is a wasteful number, since it uses less digits than its factorization.

2009321328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56014 (or 56008 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2009321328 is about 44825.4540188942. The cubic root of 2009321328 is about 1261.8753731109.

The spelling of 2009321328 in words is "two billion, nine million, three hundred twenty-one thousand, three hundred twenty-eight".