2138731168 has 96 divisors (see below), whose sum is σ = 4985487360. Its totient is φ = 883802880.

The previous prime is 2138731159. The next prime is 2138731171. The reversal of 2138731168 is 8611378312.

It is a self number, because there is not a number n which added to its sum of digits gives 2138731168.

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, 3325855 + ... + 3326497.

It is an arithmetic number, because the mean of its divisors is an integer number (51932160).

Almost surely, 2^2138731168 is an apocalyptic number.

2138731168 is a gapful number since it is divisible by the number (28) 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 2138731168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492743680).

2138731168 is an abundant number, since it is smaller than the sum of its proper divisors (2846756192).

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

2138731168 is a wasteful number, since it uses less digits than its factorization.

2138731168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 2138731168 is about 46246.4178937137. The cubic root of 2138731168 is about 1288.4040050481.

The spelling of 2138731168 in words is "two billion, one hundred thirty-eight million, seven hundred thirty-one thousand, one hundred sixty-eight".