2233132132320 has 288 divisors, whose sum is σ = 7700556820320. Its totient is φ = 589263667200.

The previous prime is 2233132132193. The next prime is 2233132132321. The reversal of 2233132132320 is 232312313322.

2233132132320 is a `hidden beast` number, since 2 + 2 + 3 + 313 + 2 + 1 + 323 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233132132321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143132520 + ... + 143148120.

It is an arithmetic number, because the mean of its divisors is an integer number (26738044515).

Almost surely, 2^{2233132132320} is an apocalyptic number.

2233132132320 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 2233132132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850278410160).

2233132132320 is an abundant number, since it is smaller than the sum of its proper divisors (5467424688000).

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

2233132132320 is a wasteful number, since it uses less digits than its factorization.

2233132132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16658 (or 16647 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2233132132320 its reverse (232312313322), we get a palindrome (2465444445642).

The spelling of 2233132132320 in words is "two trillion, two hundred thirty-three billion, one hundred thirty-two million, one hundred thirty-two thousand, three hundred twenty".