2509724 has 12 divisors (see below), whose sum is σ = 5019504. Its totient is φ = 1075584.

The previous prime is 2509721. The next prime is 2509757. The reversal of 2509724 is 4279052.

2509724 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

2509724 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509721) 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, 44789 + ... + 44844.

It is an arithmetic number, because the mean of its divisors is an integer number (418292).

2^2509724 is an apocalyptic number.

It is an amenable number.

2509724 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2509724 is a wasteful number, since it uses less digits than its factorization.

2509724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89644 (or 89642 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2509724 is about 1584.2108445532. The cubic root of 2509724 is about 135.8966198209.

The spelling of 2509724 in words is "two million, five hundred nine thousand, seven hundred twenty-four".