2138761168 has 40 divisors (see below), whose sum is σ = 4336329600. Its totient is φ = 1019973504.

The previous prime is 2138761159. The next prime is 2138761171. The reversal of 2138761168 is 8611678312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124018 + ... + 140206.

It is an arithmetic number, because the mean of its divisors is an integer number (108408240).

Almost surely, 2^2138761168 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 2138761168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168164800).

2138761168 is an abundant number, since it is smaller than the sum of its proper divisors (2197568432).

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

2138761168 is a wasteful number, since it uses less digits than its factorization.

2138761168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16579 (or 16573 counting only the distinct ones).

The product of its digits is 96768, while the sum is 43.

The square root of 2138761168 is about 46246.7422420218. The cubic root of 2138761168 is about 1288.4100291712.

The spelling of 2138761168 in words is "two billion, one hundred thirty-eight million, seven hundred sixty-one thousand, one hundred sixty-eight".