2286816 has 96 divisors (see below), whose sum is σ = 7112448. Its totient is φ = 629760.

The previous prime is 2286803. The next prime is 2286827. The reversal of 2286816 is 6186822.

It is a tau number, because it is divible by the number of its divisors (96).

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

Its product of digits (9216) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27511 + ... + 27593.

It is an arithmetic number, because the mean of its divisors is an integer number (74088).

2^2286816 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 2286816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556224).

2286816 is an abundant number, since it is smaller than the sum of its proper divisors (4825632).

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

2286816 is a wasteful number, since it uses less digits than its factorization.

2286816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 2286816 is about 1512.2222058944. Note that the first 4 decimals coincide. The cubic root of 2286816 is about 131.7479119002.

The spelling of 2286816 in words is "two million, two hundred eighty-six thousand, eight hundred sixteen".