2331336331332 has 72 divisors (see below), whose sum is σ = 6056140290200. Its totient is φ = 755638460928.

The previous prime is 2331336331321. The next prime is 2331336331409.

2331336331332 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 3 + 3 + 633 + 13 + 3 + 2 = 666.

2331336331332 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2149343652096 + 181992679236 = 1466064^2 + 426606^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 1599294 + ... + 2687082.

Almost surely, 2^{2331336331332} 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 2331336331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028070145100).

2331336331332 is an abundant number, since it is smaller than the sum of its proper divisors (3724803958868).

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

2331336331332 is a wasteful number, since it uses less digits than its factorization.

2331336331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089445 (or 1089440 counting only the distinct ones).

The product of its digits is 157464, while the sum is 36.

The spelling of 2331336331332 in words is "two trillion, three hundred thirty-one billion, three hundred thirty-six million, three hundred thirty-one thousand, three hundred thirty-two".