2331142411332 has 384 divisors, whose sum is σ = 6952804024320. Its totient is φ = 592257853440.

The previous prime is 2331142411289. The next prime is 2331142411333.

2331142411332 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2331142411332.

It is not an unprimeable number, because it can be changed into a prime (2331142411333) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1542780457 + ... + 1542781967.

It is an arithmetic number, because the mean of its divisors is an integer number (18106260480).

Almost surely, 2^{2331142411332} 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 2331142411332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476402012160).

2331142411332 is an abundant number, since it is smaller than the sum of its proper divisors (4621661612988).

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

2331142411332 is a wasteful number, since it uses less digits than its factorization.

2331142411332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2109 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The spelling of 2331142411332 in words is "two trillion, three hundred thirty-one billion, one hundred forty-two million, four hundred eleven thousand, three hundred thirty-two".