2138779528928 has 96 divisors (see below), whose sum is σ = 4915659571200. Its totient is φ = 896931569664.

The previous prime is 2138779528819. The next prime is 2138779528933. The reversal of 2138779528928 is 8298259778312.

It is a super-2 number, since 2×2138779528928² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58612193 + ... + 58648671.

It is an arithmetic number, because the mean of its divisors is an integer number (51204787200).

Almost surely, 2^{2138779528928} is an apocalyptic number.

2138779528928 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 2138779528928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457829785600).

2138779528928 is an abundant number, since it is smaller than the sum of its proper divisors (2776880042272).

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

2138779528928 is a wasteful number, since it uses less digits than its factorization.

2138779528928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42112 (or 42104 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 71.

The spelling of 2138779528928 in words is "two trillion, one hundred thirty-eight billion, seven hundred seventy-nine million, five hundred twenty-eight thousand, nine hundred twenty-eight".