2814816 has 48 divisors (see below), whose sum is σ = 7484400. Its totient is φ = 926208.

The previous prime is 2814811. The next prime is 2814817. The reversal of 2814816 is 6184182.

2814816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2814816² = 15846378227712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2814811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10330 + ... + 10598.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

2^2814816 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 2814816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742200).

2814816 is an abundant number, since it is smaller than the sum of its proper divisors (4669584).

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

2814816 is a wasteful number, since it uses less digits than its factorization.

2814816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 2814816 is about 1677.7413388243. The cubic root of 2814816 is about 141.1941392919.

Adding to 2814816 its reverse (6184182), we get a palindrome (8998998).

The spelling of 2814816 in words is "two million, eight hundred fourteen thousand, eight hundred sixteen".