2509506 has 48 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 768384.

The previous prime is 2509499. The next prime is 2509513. The reversal of 2509506 is 6059052.

It is an interprime number because it is at equal distance from previous prime (2509499) and next prime (2509513).

It is a self number, because there is not a number n which added to its sum of digits gives 2509506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17985 + ... + 18123.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

2^2509506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

2509506 is an abundant number, since it is smaller than the sum of its proper divisors (3387294).

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

2509506 is a wasteful number, since it uses less digits than its factorization.

2509506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 2509506 is about 1584.1420390861. The cubic root of 2509506 is about 135.8926849498.

The spelling of 2509506 in words is "two million, five hundred nine thousand, five hundred six".