2228240 has 80 divisors (see below), whose sum is σ = 6213888. Its totient is φ = 726528.

The previous prime is 2228221. The next prime is 2228243. The reversal of 2228240 is 428222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 2² + 2¹⁷ + 2²⁰ + 8 + 2²⁰ + 4 + 0 .

It is not an unprimeable number, because it can be changed into a prime (2228243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12794 + ... + 12966.

2^2228240 is an apocalyptic number.

2228240 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 2228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106944).

2228240 is an abundant number, since it is smaller than the sum of its proper divisors (3985648).

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

2228240 is a wasteful number, since it uses less digits than its factorization.

2228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2228240 is about 1492.7290444016. The cubic root of 2228240 is about 130.6132758874.

It can be divided in two parts, 22282 and 40, that added together give a palindrome (22322).

The spelling of 2228240 in words is "two million, two hundred twenty-eight thousand, two hundred forty".