2233133332320 has 384 divisors, whose sum is σ = 8081958850560. Its totient is φ = 512605255680.

The previous prime is 2233133332307. The next prime is 2233133332337. The reversal of 2233133332320 is 232333313322.

2233133332320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243070767 + ... + 243079953.

It is an arithmetic number, because the mean of its divisors is an integer number (21046767840).

Almost surely, 2^{2233133332320} is an apocalyptic number.

2233133332320 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 2233133332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040979425280).

2233133332320 is an abundant number, since it is smaller than the sum of its proper divisors (5848825518240).

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

2233133332320 is a wasteful number, since it uses less digits than its factorization.

2233133332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11658 (or 11650 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 2233133332320 its reverse (232333313322), we get a palindrome (2465466645642).

The spelling of 2233133332320 in words is "two trillion, two hundred thirty-three billion, one hundred thirty-three million, three hundred thirty-two thousand, three hundred twenty".