2009920000 has 200 divisors, whose sum is σ = 5484082032. Its totient is φ = 729600000.

The previous prime is 2009919991. The next prime is 2009920027. The reversal of 2009920000 is 299002.

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3519715 + ... + 3520285.

Almost surely, 2^2009920000 is an apocalyptic number.

2009920000 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 2009920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742041016).

2009920000 is an abundant number, since it is smaller than the sum of its proper divisors (3474162032).

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

2009920000 is an frugal number, since it uses more digits than its factorization.

2009920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 2009920000 is about 44832.1313345685. The cubic root of 2009920000 is about 1262.0006848147. Note that the first 3 decimals are identical.

The spelling of 2009920000 in words is "two billion, nine million, nine hundred twenty thousand".