2400424 has 16 divisors (see below), whose sum is σ = 4847220. Its totient is φ = 1107840.

The previous prime is 2400413. The next prime is 2400469. The reversal of 2400424 is 4240042.

It can be written as a sum of positive squares in 2 ways, for example, as 2304324 + 96100 = 1518^2 + 310^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2400398 and 2400407.

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, 11437 + ... + 11644.

2^2400424 is an apocalyptic number.

It is an amenable number.

2400424 is an abundant number, since it is smaller than the sum of its proper divisors (2446796).

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

2400424 is a wasteful number, since it uses less digits than its factorization.

2400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23100 (or 23096 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2400424 is about 1549.3301778511. The cubic root of 2400424 is about 133.8944739847.

Adding to 2400424 its reverse (4240042), we get a palindrome (6640466).

The spelling of 2400424 in words is "two million, four hundred thousand, four hundred twenty-four".