2982816 has 36 divisors (see below), whose sum is σ = 8483202. Its totient is φ = 994176.

The previous prime is 2982809. The next prime is 2982817. The reversal of 2982816 is 6182892.

It can be written as a sum of positive squares in only one way, i.e., 2547216 + 435600 = 1596^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2982817) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4891 + ... + 5466.

2^2982816 is an apocalyptic number.

It is an amenable number.

2982816 is an abundant number, since it is smaller than the sum of its proper divisors (5500386).

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

2982816 is a wasteful number, since it uses less digits than its factorization.

2982816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10373 (or 10362 counting only the distinct ones).

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

The square root of 2982816 is about 1727.0830900683. The cubic root of 2982816 is about 143.9490560534.

The spelling of 2982816 in words is "two million, nine hundred eighty-two thousand, eight hundred sixteen".