2508008009 has 8 divisors (see below), whose sum is σ = 2705154312. Its totient is φ = 2311464960.

The previous prime is 2508008003. The next prime is 2508008017. The reversal of 2508008009 is 9008008052.

2508008009 is digitally balanced in base 2, 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 4 ways, for example, as 1159062025 + 1348945984 = 34045^2 + 36728^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2508008009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2508008003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142154 + ... + 158819.

It is an arithmetic number, because the mean of its divisors is an integer number (338144289).

Almost surely, 2^2508008009 is an apocalyptic number.

It is an amenable number.

2508008009 is a deficient number, since it is larger than the sum of its proper divisors (197146303).

2508008009 is a wasteful number, since it uses less digits than its factorization.

2508008009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301627.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 2508008009 is about 50080.0160642945. The cubic root of 2508008009 is about 1358.6564024632.

The spelling of 2508008009 in words is "two billion, five hundred eight million, eight thousand, nine".