2284000 has 48 divisors (see below), whose sum is σ = 5621616. Its totient is φ = 912000.

The previous prime is 2283997. The next prime is 2284003. The reversal of 2284000 is 4822.

It is an interprime number because it is at equal distance from previous prime (2283997) and next prime (2284003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3715 + ... + 4285.

It is an arithmetic number, because the mean of its divisors is an integer number (117117).

2^2284000 is an apocalyptic number.

2284000 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 2284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810808).

2284000 is an abundant number, since it is smaller than the sum of its proper divisors (3337616).

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

2284000 is an equidigital number, since it uses as much as digits as its factorization.

2284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2284000 is about 1511.2908389850. The cubic root of 2284000 is about 131.6938112775.

Adding to 2284000 its reverse (4822), we get a palindrome (2288822).

The spelling of 2284000 in words is "two million, two hundred eighty-four thousand".