2400224 has 24 divisors (see below), whose sum is σ = 4776408. Its totient is φ = 1187200.

The previous prime is 2400221. The next prime is 2400253. The reversal of 2400224 is 4220042.

It is a happy number.

2400224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2400224² = 11522150500352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400199 and 2400208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3074 + ... + 3774.

It is an arithmetic number, because the mean of its divisors is an integer number (199017).

2^2400224 is an apocalyptic number.

It is an amenable number.

2400224 is a deficient number, since it is larger than the sum of its proper divisors (2376184).

2400224 is a wasteful number, since it uses less digits than its factorization.

2400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2400224 is about 1549.2656324853. The cubic root of 2400224 is about 133.8907552474.

Adding to 2400224 its reverse (4220042), we get a palindrome (6620266).

The spelling of 2400224 in words is "two million, four hundred thousand, two hundred twenty-four".