2509264 has 20 divisors (see below), whose sum is σ = 5019520. Its totient is φ = 1213920.

The previous prime is 2509259. The next prime is 2509267. The reversal of 2509264 is 4629052.

2509264 is an admirable number.

It is a super-3 number, since 3×2509264³ = 47398033373316575232, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2034 + ... + 3025.

It is an arithmetic number, because the mean of its divisors is an integer number (250976).

2^2509264 is an apocalyptic number.

It is an amenable number.

2509264 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.

2509264 is a wasteful number, since it uses less digits than its factorization.

2509264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2509264 is about 1584.0656552050. The cubic root of 2509264 is about 135.8883166151. Note that the first 3 decimals are identical.

The spelling of 2509264 in words is "two million, five hundred nine thousand, two hundred sixty-four".