2009385000 has 240 divisors, whose sum is σ = 7773136800. Its totient is φ = 459216000.

The previous prime is 2009384981. The next prime is 2009385013. The reversal of 2009385000 is 5839002.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 311811 + ... + 318189.

It is an arithmetic number, because the mean of its divisors is an integer number (32388070).

Almost surely, 2^2009385000 is an apocalyptic number.

2009385000 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 2009385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886568400).

2009385000 is an abundant number, since it is smaller than the sum of its proper divisors (5763751800).

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

2009385000 is a wasteful number, since it uses less digits than its factorization.

2009385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2009385000 is about 44826.1642347413. The cubic root of 2009385000 is about 1261.8887018700. Note that the first 3 decimals are identical.

The spelling of 2009385000 in words is "two billion, nine million, three hundred eighty-five thousand".