2282120 has 32 divisors (see below), whose sum is σ = 5227200. Its totient is φ = 896448.

The previous prime is 2282099. The next prime is 2282141. The reversal of 2282120 is 212822.

It is an interprime number because it is at equal distance from previous prime (2282099) and next prime (2282141).

It is a super-3 number, since 3×2282120³ = 35656333725672384000, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1877 + ... + 2843.

It is an arithmetic number, because the mean of its divisors is an integer number (163350).

2^2282120 is an apocalyptic number.

2282120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613600).

2282120 is an abundant number, since it is smaller than the sum of its proper divisors (2945080).

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

2282120 is a wasteful number, since it uses less digits than its factorization.

2282120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2282120 is about 1510.6687260945. The cubic root of 2282120 is about 131.6576682059.

Adding to 2282120 its reverse (212822), we get a palindrome (2494942).

The spelling of 2282120 in words is "two million, two hundred eighty-two thousand, one hundred twenty".