2802816 has 64 divisors (see below), whose sum is σ = 8282400. Its totient is φ = 933120.

The previous prime is 2802797. The next prime is 2802847. The reversal of 2802816 is 6182082.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2802816.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3051 + ... + 3861.

2^2802816 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 2802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141200).

2802816 is an abundant number, since it is smaller than the sum of its proper divisors (5479584).

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

2802816 is an equidigital number, since it uses as much as digits as its factorization.

2802816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2802816 is about 1674.1612825531. The cubic root of 2802816 is about 140.9932092701.

Adding to 2802816 its reverse (6182082), we get a palindrome (8984898).

The spelling of 2802816 in words is "two million, eight hundred two thousand, eight hundred sixteen".