2138331312 has 200 divisors, whose sum is σ = 6713389760. Its totient is φ = 657072000.

The previous prime is 2138331301. The next prime is 2138331313. The reversal of 2138331312 is 2131338312.

2138331312 is a `hidden beast` number, since 2 + 13 + 8 + 331 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (2138331313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2846937 + ... + 2847687.

Almost surely, 2^2138331312 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 2138331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356694880).

2138331312 is an abundant number, since it is smaller than the sum of its proper divisors (4575058448).

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

2138331312 is an equidigital number, since it uses as much as digits as its factorization.

2138331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 769 counting only the distinct ones).

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

The square root of 2138331312 is about 46242.0945892376. The cubic root of 2138331312 is about 1288.3237069429.

Adding to 2138331312 its reverse (2131338312), we get a palindrome (4269669624).

The spelling of 2138331312 in words is "two billion, one hundred thirty-eight million, three hundred thirty-one thousand, three hundred twelve".