2009022985900 has 432 divisors, whose sum is σ = 5482977816960. Its totient is φ = 634730342400.

The previous prime is 2009022985897. The next prime is 2009022985913. The reversal of 2009022985900 is 95892209002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 999015895 + ... + 999017905.

It is an arithmetic number, because the mean of its divisors is an integer number (12692078280).

Almost surely, 2^{2009022985900} is an apocalyptic number.

2009022985900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009022985900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741488908480).

2009022985900 is an abundant number, since it is smaller than the sum of its proper divisors (3473954831060).

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

2009022985900 is a wasteful number, since it uses less digits than its factorization.

2009022985900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 2009022985900 in words is "two trillion, nine billion, twenty-two million, nine hundred eighty-five thousand, nine hundred".