2232332001300 has 288 divisors, whose sum is σ = 6854915257344. Its totient is φ = 559754624000.

The previous prime is 2232332001287. The next prime is 2232332001301. The reversal of 2232332001300 is 31002332322.

It is a super-3 number, since 3×2232332001300³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232332001301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96705760 + ... + 96728840.

It is an arithmetic number, because the mean of its divisors is an integer number (23801789088).

Almost surely, 2^{2232332001300} is an apocalyptic number.

2232332001300 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 2232332001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427457628672).

2232332001300 is an abundant number, since it is smaller than the sum of its proper divisors (4622583256044).

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

2232332001300 is a wasteful number, since it uses less digits than its factorization.

2232332001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23359 (or 23352 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2232332001300 its reverse (31002332322), we get a palindrome (2263334333622).

The spelling of 2232332001300 in words is "two trillion, two hundred thirty-two billion, three hundred thirty-two million, one thousand, three hundred".