2138558312 has 64 divisors (see below), whose sum is σ = 4527360000. Its totient is φ = 938232000.

The previous prime is 2138558273. The next prime is 2138558353.

2138558312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1360487 + ... + 1362057.

It is an arithmetic number, because the mean of its divisors is an integer number (70740000).

Almost surely, 2^2138558312 is an apocalyptic number.

2138558312 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 2138558312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263680000).

2138558312 is an abundant number, since it is smaller than the sum of its proper divisors (2388801688).

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

2138558312 is a wasteful number, since it uses less digits than its factorization.

2138558312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2114 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The square root of 2138558312 is about 46244.5489976927. The cubic root of 2138558312 is about 1288.3692937567.

It can be divided in two parts, 21385 and 58312, that added together give a palindrome (79697).

The spelling of 2138558312 in words is "two billion, one hundred thirty-eight million, five hundred fifty-eight thousand, three hundred twelve".