2009785800 has 576 divisors, whose sum is σ = 7599513600. Its totient is φ = 437184000.

The previous prime is 2009785787. The next prime is 2009785861. The reversal of 2009785800 is 85879002.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42761377 + ... + 42761423.

It is an arithmetic number, because the mean of its divisors is an integer number (13193600).

Almost surely, 2^2009785800 is an apocalyptic number.

2009785800 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 2009785800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799756800).

2009785800 is an abundant number, since it is smaller than the sum of its proper divisors (5589727800).

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

2009785800 is a wasteful number, since it uses less digits than its factorization.

2009785800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 2009785800 is about 44830.6346151825. The cubic root of 2009785800 is about 1261.9725967546.

The spelling of 2009785800 in words is "two billion, nine million, seven hundred eighty-five thousand, eight hundred".