2509268 has 12 divisors (see below), whose sum is σ = 4649652. Its totient is φ = 1180800.

The previous prime is 2509267. The next prime is 2509271. The reversal of 2509268 is 8629052.

2509268 is digitally balanced in base 5, 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 824464 + 1684804 = 908^2 + 1298^2 .

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, 18383 + ... + 18518.

It is an arithmetic number, because the mean of its divisors is an integer number (387471).

2^2509268 is an apocalyptic number.

It is an amenable number.

2509268 is a deficient number, since it is larger than the sum of its proper divisors (2140384).

2509268 is a wasteful number, since it uses less digits than its factorization.

2509268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36922 (or 36920 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2509268 is about 1584.0669177784. The cubic root of 2509268 is about 135.8883888212. Note that the first 3 decimals are identical.

The spelling of 2509268 in words is "two million, five hundred nine thousand, two hundred sixty-eight".