2218000 has 40 divisors (see below), whose sum is σ = 5367960. Its totient is φ = 886400.

The previous prime is 2217991. The next prime is 2218001. The reversal of 2218000 is 8122.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 1628176 = 768^2 + 1276^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1446 + ... + 2554.

It is an arithmetic number, because the mean of its divisors is an integer number (134199).

2^2218000 is an apocalyptic number.

2218000 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 2218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683980).

2218000 is an abundant number, since it is smaller than the sum of its proper divisors (3149960).

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

2218000 is a wasteful number, since it uses less digits than its factorization.

2218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2218000 is about 1489.2951352905. The cubic root of 2218000 is about 130.4128884347.

The spelling of 2218000 in words is "two million, two hundred eighteen thousand".