2305002006 has 24 divisors (see below), whose sum is σ = 5007225600. Its totient is φ = 766325616.

The previous prime is 2305001999. The next prime is 2305002013. The reversal of 2305002006 is 6002005032.

It is an interprime number because it is at equal distance from previous prime (2305001999) and next prime (2305002013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2305002006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160281 + ... + 174068.

It is an arithmetic number, because the mean of its divisors is an integer number (208634400).

Almost surely, 2^2305002006 is an apocalyptic number.

2305002006 is an abundant number, since it is smaller than the sum of its proper divisors (2702223594).

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

2305002006 is a wasteful number, since it uses less digits than its factorization.

2305002006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334740 (or 334737 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2305002006 is about 48010.4364279268. The cubic root of 2305002006 is about 1320.9623388751.

Adding to 2305002006 its reverse (6002005032), we get a palindrome (8307007038).

The spelling of 2305002006 in words is "two billion, three hundred five million, two thousand, six".