2282800 has 60 divisors (see below), whose sum is σ = 5919760. Its totient is φ = 840960.

The previous prime is 2282767. The next prime is 2282801. The reversal of 2282800 is 82822.

2282800 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×2282800² = 10422351680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2282801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4981 + ... + 5419.

2^2282800 is an apocalyptic number.

2282800 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 2282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959880).

2282800 is an abundant number, since it is smaller than the sum of its proper divisors (3636960).

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

2282800 is a wasteful number, since it uses less digits than its factorization.

2282800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2282800 is about 1510.8937752205. The cubic root of 2282800 is about 131.6707435224.

Adding to 2282800 its sum of digits (22), we get a palindrome (2282822).

The spelling of 2282800 in words is "two million, two hundred eighty-two thousand, eight hundred".