2509424 has 30 divisors (see below), whose sum is σ = 5037624. Its totient is φ = 1210720.

The previous prime is 2509417. The next prime is 2509427. The reversal of 2509424 is 4249052.

It is a junction number, because it is equal to n+sod(n) for n = 2509393 and 2509402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509427) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35309 + ... + 35379.

2^2509424 is an apocalyptic number.

It is an amenable number.

2509424 is an abundant number, since it is smaller than the sum of its proper divisors (2528200).

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

2509424 is an equidigital number, since it uses as much as digits as its factorization.

2509424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2509424 is about 1584.1161573572. The cubic root of 2509424 is about 135.8912048017.

The spelling of 2509424 in words is "two million, five hundred nine thousand, four hundred twenty-four".