2138190516 has 108 divisors (see below), whose sum is σ = 6789686176. Its totient is φ = 555366240.

The previous prime is 2138190511. The next prime is 2138190553. The reversal of 2138190516 is 6150918312.

2138190516 is a `hidden beast` number, since 2 + 138 + 1 + 9 + 0 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138190511) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4570 + ... + 65553.

Almost surely, 2^2138190516 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 2138190516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394843088).

2138190516 is an abundant number, since it is smaller than the sum of its proper divisors (4651495660).

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

2138190516 is a wasteful number, since it uses less digits than its factorization.

2138190516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70162 (or 70146 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 2138190516 is about 46240.5721850411. The cubic root of 2138190516 is about 1288.2954302512.

The spelling of 2138190516 in words is "two billion, one hundred thirty-eight million, one hundred ninety thousand, five hundred sixteen".