2321330331232 has 72 divisors (see below), whose sum is σ = 5034254558256. Its totient is φ = 1052860512000.

The previous prime is 2321330331167. The next prime is 2321330331241.

2321330331232 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2321330331232³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2321330331232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1134757 + ... + 2435227.

It is an arithmetic number, because the mean of its divisors is an integer number (69920202198).

Almost surely, 2^{2321330331232} is an apocalyptic number.

2321330331232 is a gapful number since it is divisible by the number (22) 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 2321330331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517127279128).

2321330331232 is an abundant number, since it is smaller than the sum of its proper divisors (2712924227024).

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

2321330331232 is a wasteful number, since it uses less digits than its factorization.

2321330331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300964 (or 1300945 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

It can be divided in two parts, 2321330 and 331232, that added together give a palindrome (2652562).

The spelling of 2321330331232 in words is "two trillion, three hundred twenty-one billion, three hundred thirty million, three hundred thirty-one thousand, two hundred thirty-two".