2009510368 has 48 divisors (see below), whose sum is σ = 4228985376. Its totient is φ = 937615360.

The previous prime is 2009510341. The next prime is 2009510401. The reversal of 2009510368 is 8630159002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3121 + ... + 63472.

It is an arithmetic number, because the mean of its divisors is an integer number (88103862).

Almost surely, 2^2009510368 is an apocalyptic number.

It is an amenable number.

2009510368 is an abundant number, since it is smaller than the sum of its proper divisors (2219475008).

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

2009510368 is a wasteful number, since it uses less digits than its factorization.

2009510368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66667 (or 66659 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 2009510368 is about 44827.5625926728. The cubic root of 2009510368 is about 1261.9149449200.

The spelling of 2009510368 in words is "two billion, nine million, five hundred ten thousand, three hundred sixty-eight".