2331661332 has 192 divisors, whose sum is σ = 7338240000. Its totient is φ = 556485120.

The previous prime is 2331661313. The next prime is 2331661337.

2331661332 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 2331661332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2331661337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4672419 + ... + 4672917.

It is an arithmetic number, because the mean of its divisors is an integer number (38220000).

Almost surely, 2^2331661332 is an apocalyptic number.

2331661332 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 2331661332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669120000).

2331661332 is an abundant number, since it is smaller than the sum of its proper divisors (5006578668).

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

2331661332 is a wasteful number, since it uses less digits than its factorization.

2331661332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 924 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 2331661332 is about 48287.2791944214. The cubic root of 2331661332 is about 1326.0355179319.

It can be divided in two parts, 23316 and 61332, that added together give a palindrome (84648).

The spelling of 2331661332 in words is "two billion, three hundred thirty-one million, six hundred sixty-one thousand, three hundred thirty-two".