2009445680 has 80 divisors (see below), whose sum is σ = 5135885568. Its totient is φ = 725088000.

The previous prime is 2009445671. The next prime is 2009445701. The reversal of 2009445680 is 865449002.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 106565 + ... + 123995.

Almost surely, 2^2009445680 is an apocalyptic number.

2009445680 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 2009445680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567942784).

2009445680 is an abundant number, since it is smaller than the sum of its proper divisors (3126439888).

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

2009445680 is a wasteful number, since it uses less digits than its factorization.

2009445680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17586 (or 17580 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 2009445680 is about 44826.8410664860. The cubic root of 2009445680 is about 1261.9014040377.

The spelling of 2009445680 in words is "two billion, nine million, four hundred forty-five thousand, six hundred eighty".