2280000 has 140 divisors (see below), whose sum is σ = 7934960. Its totient is φ = 576000.

The previous prime is 2279993. The next prime is 2280011. The reversal of 2280000 is 822.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 119991 + ... + 120009.

2^2280000 is an apocalyptic number.

2280000 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 2280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967480).

2280000 is an abundant number, since it is smaller than the sum of its proper divisors (5654960).

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

2280000 is an equidigital number, since it uses as much as digits as its factorization.

2280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2280000 is about 1509.9668870541. The cubic root of 2280000 is about 131.6168873048.

Adding to 2280000 its reverse (822), we get a palindrome (2280822).

The spelling of 2280000 in words is "two million, two hundred eighty thousand".