2424640 has 28 divisors (see below), whose sum is σ = 5774436. Its totient is φ = 969728.

The previous prime is 2424629. The next prime is 2424649. The reversal of 2424640 is 464242.

2424640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 2119936 = 552^2 + 1456^2 .

It is a d-powerful number, because it can be written as 2¹¹ + 4⁴ + 2²¹ + 4⁷ + 6⁶ + 4⁹ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424649) 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, 3469 + ... + 4108.

2^2424640 is an apocalyptic number.

2424640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424640 is an abundant number, since it is smaller than the sum of its proper divisors (3349796).

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

2424640 is an equidigital number, since it uses as much as digits as its factorization.

2424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2424640 is about 1557.1255569157. The cubic root of 2424640 is about 134.3432205360.

Adding to 2424640 its reverse (464242), we get a palindrome (2888882).

The spelling of 2424640 in words is "two million, four hundred twenty-four thousand, six hundred forty".