2233322003328 has 256 divisors, whose sum is σ = 6640350796800. Its totient is φ = 660543676416.

The previous prime is 2233322003287. The next prime is 2233322003329. The reversal of 2233322003328 is 8233002233322.

It is a happy number.

2233322003328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233322003329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15257593 + ... + 15403271.

It is an arithmetic number, because the mean of its divisors is an integer number (25938870300).

Almost surely, 2^{2233322003328} 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 2233322003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320175398400).

2233322003328 is an abundant number, since it is smaller than the sum of its proper divisors (4407028793472).

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

2233322003328 is a wasteful number, since it uses less digits than its factorization.

2233322003328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145829 (or 145817 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

The spelling of 2233322003328 in words is "two trillion, two hundred thirty-three billion, three hundred twenty-two million, three thousand, three hundred twenty-eight".