2138111016 has 128 divisors (see below), whose sum is σ = 5619335040. Its totient is φ = 677376000.

The previous prime is 2138110993. The next prime is 2138111047. The reversal of 2138111016 is 6101118312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7608796 + ... + 7609076.

It is an arithmetic number, because the mean of its divisors is an integer number (43901055).

Almost surely, 2^2138111016 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 2138111016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809667520).

2138111016 is an abundant number, since it is smaller than the sum of its proper divisors (3481224024).

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

2138111016 is a wasteful number, since it uses less digits than its factorization.

2138111016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 2138111016 is about 46239.7125423591. The cubic root of 2138111016 is about 1288.2794633616.

Adding to 2138111016 its reverse (6101118312), we get a palindrome (8239229328).

The spelling of 2138111016 in words is "two billion, one hundred thirty-eight million, one hundred eleven thousand, sixteen".