2009905456 has 40 divisors (see below), whose sum is σ = 4198325040. Its totient is φ = 926635776.

The previous prime is 2009905421. The next prime is 2009905459. The reversal of 2009905456 is 6545099002.

It is not an unprimeable number, because it can be changed into a prime (2009905459) by changing a digit.

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, 205935 + ... + 215473.

It is an arithmetic number, because the mean of its divisors is an integer number (104958126).

Almost surely, 2^2009905456 is an apocalyptic number.

2009905456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2009905456 is an abundant number, since it is smaller than the sum of its proper divisors (2188419584).

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

2009905456 is a wasteful number, since it uses less digits than its factorization.

2009905456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10573 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 2009905456 is about 44831.9691291828. The cubic root of 2009905456 is about 1261.9976408159.

The spelling of 2009905456 in words is "two billion, nine million, nine hundred five thousand, four hundred fifty-six".