2138756346 has 64 divisors (see below), whose sum is σ = 4798085760. Its totient is φ = 706164480.

The previous prime is 2138756341. The next prime is 2138756353. The reversal of 2138756346 is 6436578312.

2138756346 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 7 + 5 + 634 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2138756341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3839500 + ... + 3840056.

It is an arithmetic number, because the mean of its divisors is an integer number (74970090).

Almost surely, 2^2138756346 is an apocalyptic number.

2138756346 is an abundant number, since it is smaller than the sum of its proper divisors (2659329414).

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

2138756346 is a wasteful number, since it uses less digits than its factorization.

2138756346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1110 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2138756346 is about 46246.6901085905. The cubic root of 2138756346 is about 1288.4090608976.

The spelling of 2138756346 in words is "two billion, one hundred thirty-eight million, seven hundred fifty-six thousand, three hundred forty-six".