2240424 has 72 divisors (see below), whose sum is σ = 6454110. Its totient is φ = 701568.

The previous prime is 2240389. The next prime is 2240431. The reversal of 2240424 is 4240422.

2240424 is a `hidden beast` number, since 2 + 240 + 424 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2196324 + 44100 = 1482^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2240397 and 2240406.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60534 + ... + 60570.

2^2240424 is an apocalyptic number.

2240424 is a gapful number since it is divisible by the number (24) 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 2240424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227055).

2240424 is an abundant number, since it is smaller than the sum of its proper divisors (4213686).

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

2240424 is a wasteful number, since it uses less digits than its factorization.

2240424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2240424 is about 1496.8045964654. The cubic root of 2240424 is about 130.8509074350.

Adding to 2240424 its reverse (4240422), we get a palindrome (6480846).

The spelling of 2240424 in words is "two million, two hundred forty thousand, four hundred twenty-four".