2509035006 has 32 divisors (see below), whose sum is σ = 5285514240. Its totient is φ = 791826624.

The previous prime is 2509034909. The next prime is 2509035043. The reversal of 2509035006 is 6005309052.

It is a super-2 number, since 2×2509035006² = 12590513322666840072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201786 + ... + 213858.

It is an arithmetic number, because the mean of its divisors is an integer number (165172320).

Almost surely, 2^2509035006 is an apocalyptic number.

2509035006 is an abundant number, since it is smaller than the sum of its proper divisors (2776479234).

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

2509035006 is a wasteful number, since it uses less digits than its factorization.

2509035006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13920.

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 2509035006 is about 50090.2685758422. The cubic root of 2509035006 is about 1358.8418279257.

The spelling of 2509035006 in words is "two billion, five hundred nine million, thirty-five thousand, six".