2009985648 has 80 divisors (see below), whose sum is σ = 5720740992. Its totient is φ = 603040000.

The previous prime is 2009985641. The next prime is 2009985673. The reversal of 2009985648 is 8465899002.

It is a self number, because there is not a number n which added to its sum of digits gives 2009985648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009985641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34483 + ... + 72173.

Almost surely, 2^2009985648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009985648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860370496).

2009985648 is an abundant number, since it is smaller than the sum of its proper divisors (3710755344).

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

2009985648 is a wasteful number, since it uses less digits than its factorization.

2009985648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37814 (or 37808 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 2009985648 is about 44832.8634820485. The cubic root of 2009985648 is about 1262.0144244858.

The spelling of 2009985648 in words is "two billion, nine million, nine hundred eighty-five thousand, six hundred forty-eight".