2218240 has 36 divisors (see below), whose sum is σ = 5316444. Its totient is φ = 886784.

The previous prime is 2218219. The next prime is 2218277. The reversal of 2218240 is 428122.

It can be written as a sum of positive squares in 2 ways, for example, as 891136 + 1327104 = 944^2 + 1152^2 .

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 3 ways as a sum of consecutive naturals, for example, 414 + ... + 2146.

It is an arithmetic number, because the mean of its divisors is an integer number (147679).

2^2218240 is an apocalyptic number.

2218240 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 2218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658222).

2218240 is an abundant number, since it is smaller than the sum of its proper divisors (3098204).

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

2218240 is an equidigital number, since it uses as much as digits as its factorization.

2218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2218240 is about 1489.3757081408. The cubic root of 2218240 is about 130.4175920662.

It can be divided in two parts, 22182 and 40, that added together give a palindrome (22222).

The spelling of 2218240 in words is "two million, two hundred eighteen thousand, two hundred forty".