2282016 has 48 divisors (see below), whose sum is σ = 6537888. Its totient is φ = 691200.

The previous prime is 2281987. The next prime is 2282017. The reversal of 2282016 is 6102822.

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

It is a junction number, because it is equal to n+sod(n) for n = 2281983 and 2282001.

It is not an unprimeable number, because it can be changed into a prime (2282017) by changing a digit.

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, 25 + ... + 2136.

It is an arithmetic number, because the mean of its divisors is an integer number (136206).

2^2282016 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 2282016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268944).

2282016 is an abundant number, since it is smaller than the sum of its proper divisors (4255872).

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

2282016 is a wasteful number, since it uses less digits than its factorization.

2282016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2282016 is about 1510.6343038605. The cubic root of 2282016 is about 131.6556682226.

Adding to 2282016 its reverse (6102822), we get a palindrome (8384838).

The spelling of 2282016 in words is "two million, two hundred eighty-two thousand, sixteen".