2816 has 18 divisors (see below), whose sum is σ = 6132. Its totient is φ = 1280.

The previous prime is 2803. The next prime is 2819. The reversal of 2816 is 6182.

2816 is nontrivially palindromic in base 6.

2816 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is an Ulam number.

It is a plaindrome in base 13.

It is a nialpdrome in base 8 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2794 and 2803.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2816.

It is not an unprimeable number, because it can be changed into a prime (2819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 251 + ... + 261.

2²⁸¹⁶ 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 2816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066).

2816 is an abundant number, since it is smaller than the sum of its proper divisors (3316).

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

2816 is an equidigital number, since it uses as much as digits as its factorization.

2816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27 (or 13 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 2816 is about 53.0659966457. The cubic root of 2816 is about 14.1213933413.

Adding to 2816 its reverse (6182), we get a palindrome (8998).

It can be divided in two parts, 28 and 16, that added together give a palindrome (44).

The spelling of 2816 in words is "two thousand, eight hundred sixteen".