2282280 has 256 divisors, whose sum is σ = 9676800. Its totient is φ = 414720.

The previous prime is 2282257. The next prime is 2282281. The reversal of 2282280 is 822822.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2282280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2282281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120111 + ... + 120129.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2^2282280 is an apocalyptic number.

2282280 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 2282280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

2282280 is an abundant number, since it is smaller than the sum of its proper divisors (7394520).

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

2282280 is a wasteful number, since it uses less digits than its factorization.

2282280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2282280 is about 1510.7216818461. The cubic root of 2282280 is about 131.6607449846.

It can be divided in two parts, 2 and 282280, that added together give a palindrome (282282).

The spelling of 2282280 in words is "two million, two hundred eighty-two thousand, two hundred eighty".