2224464 has 60 divisors (see below), whose sum is σ = 6332928. Its totient is φ = 672320.

The previous prime is 2224459. The next prime is 2224489. The reversal of 2224464 is 4644222.

2224464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹⁴ + 2¹⁸ + 2¹⁸ + 4² + 4³ + 6⁸ + 4⁶ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5617 + ... + 5999.

2^2224464 is an apocalyptic number.

2224464 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 2224464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166464).

2224464 is an abundant number, since it is smaller than the sum of its proper divisors (4108464).

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

2224464 is a wasteful number, since it uses less digits than its factorization.

2224464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 399 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 2224464 is about 1491.4637105877. The cubic root of 2224464 is about 130.5394546078.

Adding to 2224464 its reverse (4644222), we get a palindrome (6868686).

The spelling of 2224464 in words is "two million, two hundred twenty-four thousand, four hundred sixty-four".