2889768 has 64 divisors (see below), whose sum is σ = 8386560. Its totient is φ = 812736.

The previous prime is 2889739. The next prime is 2889769. The reversal of 2889768 is 8679882.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2889769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17221 + ... + 17387.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

2^2889768 is an apocalyptic number.

2889768 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 2889768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193280).

2889768 is an abundant number, since it is smaller than the sum of its proper divisors (5496792).

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

2889768 is a wasteful number, since it uses less digits than its factorization.

2889768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 2889768 is about 1699.9317633364. The cubic root of 2889768 is about 142.4364012904.

The spelling of 2889768 in words is "two million, eight hundred eighty-nine thousand, seven hundred sixty-eight".