2231661312 has 108 divisors (see below), whose sum is σ = 6543886440. Its totient is φ = 731234304.

The previous prime is 2231661293. The next prime is 2231661323. The reversal of 2231661312 is 2131661322.

2231661312 is a `hidden beast` number, since 2 + 2 + 31 + 6 + 613 + 12 = 666.

It is a super-3 number, since 3×2231661312³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127728 + ... + 144144.

Almost surely, 2^2231661312 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 2231661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271943220).

2231661312 is an abundant number, since it is smaller than the sum of its proper divisors (4312225128).

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

2231661312 is a wasteful number, since it uses less digits than its factorization.

2231661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16498 (or 16481 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2231661312 is about 47240.4626564982. The cubic root of 2231661312 is about 1306.8009098970.

The spelling of 2231661312 in words is "two billion, two hundred thirty-one million, six hundred sixty-one thousand, three hundred twelve".