2009788704 has 432 divisors, whose sum is σ = 7381142496. Its totient is φ = 517144320.

The previous prime is 2009788699. The next prime is 2009788723. The reversal of 2009788704 is 4078879002.

It is a self number, because there is not a number n which added to its sum of digits gives 2009788704.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18783019 + ... + 18783125.

It is an arithmetic number, because the mean of its divisors is an integer number (17085978).

Almost surely, 2^2009788704 is an apocalyptic number.

2009788704 is a gapful number since it is divisible by the number (24) 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 2009788704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690571248).

2009788704 is an abundant number, since it is smaller than the sum of its proper divisors (5371353792).

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

2009788704 is a wasteful number, since it uses less digits than its factorization.

2009788704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2009788704 is about 44830.6670037375. The cubic root of 2009788704 is about 1261.9732045751.

It can be divided in two parts, 20097 and 88704, that added together give a palindrome (108801).

The spelling of 2009788704 in words is "two billion, nine million, seven hundred eighty-eight thousand, seven hundred four".