2282616 has 72 divisors (see below), whose sum is σ = 7202520. Its totient is φ = 651168.

The previous prime is 2282597. The next prime is 2282617. The reversal of 2282616 is 6162822.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2282616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282617) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3205 + ... + 3851.

It is an arithmetic number, because the mean of its divisors is an integer number (100035).

2^2282616 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 2282616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601260).

2282616 is an abundant number, since it is smaller than the sum of its proper divisors (4919904).

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

2282616 is a wasteful number, since it uses less digits than its factorization.

2282616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2282616 is about 1510.8328828828. The cubic root of 2282616 is about 131.6672057519.

The spelling of 2282616 in words is "two million, two hundred eighty-two thousand, six hundred sixteen".