2138109792 has 96 divisors (see below), whose sum is σ = 6907767552. Its totient is φ = 563894784.

The previous prime is 2138109763. The next prime is 2138109803. The reversal of 2138109792 is 2979018312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113638 + ... + 131109.

It is an arithmetic number, because the mean of its divisors is an integer number (71955912).

Almost surely, 2^2138109792 is an apocalyptic number.

It is an amenable number.

2138109792 is an abundant number, since it is smaller than the sum of its proper divisors (4769657760).

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

2138109792 is a wasteful number, since it uses less digits than its factorization.

2138109792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244780 (or 244772 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 2138109792 is about 46239.6993069808. The cubic root of 2138109792 is about 1288.2792175286.

The spelling of 2138109792 in words is "two billion, one hundred thirty-eight million, one hundred nine thousand, seven hundred ninety-two".