2138118312 has 32 divisors (see below), whose sum is σ = 5831232480. Its totient is φ = 647914560.

The previous prime is 2138118277. The next prime is 2138118347.

2138118312 is nontrivially palindromic in base 10.

2138118312 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2138118277) and next prime (2138118347).

It is a super-2 number, since 2×2138118312² = 9143099832219458688, which contains 22 as substring.

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 2138118312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4049203 + ... + 4049730.

It is an arithmetic number, because the mean of its divisors is an integer number (182226015).

Almost surely, 2^2138118312 is an apocalyptic number.

2138118312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2138118312 is an abundant number, since it is smaller than the sum of its proper divisors (3693114168).

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

2138118312 is a wasteful number, since it uses less digits than its factorization.

2138118312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8098953 (or 8098949 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 2138118312 is about 46239.7914355158. The cubic root of 2138118312 is about 1288.2809287168.

It can be divided in two parts, 21381 and 18312, that added together give a palindrome (39693).

The spelling of 2138118312 in words is "two billion, one hundred thirty-eight million, one hundred eighteen thousand, three hundred twelve".