2789136 has 60 divisors (see below), whose sum is σ = 8924032. Its totient is φ = 796608.

The previous prime is 2789123. The next prime is 2789161. The reversal of 2789136 is 6319872.

2789136 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 2789136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376 + ... + 2391.

2^2789136 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 2789136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462016).

2789136 is an abundant number, since it is smaller than the sum of its proper divisors (6134896).

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

2789136 is a wasteful number, since it uses less digits than its factorization.

2789136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2779 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2789136 is about 1670.0706571879. The cubic root of 2789136 is about 140.7634482427.

The spelling of 2789136 in words is "two million, seven hundred eighty-nine thousand, one hundred thirty-six".