2889216 has 160 divisors (see below), whose sum is σ = 9820800. Its totient is φ = 829440.

The previous prime is 2889209. The next prime is 2889217. The reversal of 2889216 is 6129882.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2889217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152055 + ... + 152073.

It is an arithmetic number, because the mean of its divisors is an integer number (61380).

2^2889216 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 2889216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400).

2889216 is an abundant number, since it is smaller than the sum of its proper divisors (6931584).

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

2889216 is a wasteful number, since it uses less digits than its factorization.

2889216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 35 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2889216 is about 1699.7693961241. The cubic root of 2889216 is about 142.4273313696.

The spelling of 2889216 in words is "two million, eight hundred eighty-nine thousand, two hundred sixteen".