2007221328 has 120 divisors (see below), whose sum is σ = 6437683200. Its totient is φ = 571905792.

The previous prime is 2007221327. The next prime is 2007221369. The reversal of 2007221328 is 8231227002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007221323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389553 + ... + 394671.

It is an arithmetic number, because the mean of its divisors is an integer number (53647360).

Almost surely, 2^2007221328 is an apocalyptic number.

2007221328 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 2007221328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218841600).

2007221328 is an abundant number, since it is smaller than the sum of its proper divisors (4430461872).

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

2007221328 is a wasteful number, since it uses less digits than its factorization.

2007221328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2007221328 is about 44802.0237042926. The cubic root of 2007221328 is about 1261.4356123554.

The spelling of 2007221328 in words is "two billion, seven million, two hundred twenty-one thousand, three hundred twenty-eight".