2009342200320 has 1440 divisors, whose sum is σ = 9020287195920. Its totient is φ = 409243484160.

The previous prime is 2009342200301. The next prime is 2009342200321. The reversal of 2009342200320 is 230022439002.

2009342200320 is a `hidden beast` number, since 200 + 9 + 3 + 422 + 0 + 0 + 32 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 551894466816 + 1457447733504 = 742896^2 + 1207248^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (2009342200321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 425615560 + ... + 425620280.

Almost surely, 2^{2009342200320} is an apocalyptic number.

2009342200320 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 2009342200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510143597960).

2009342200320 is an abundant number, since it is smaller than the sum of its proper divisors (7010944995600).

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

2009342200320 is a wasteful number, since it uses less digits than its factorization.

2009342200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4806 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2009342200320 its reverse (230022439002), we get a palindrome (2239364639322).

The spelling of 2009342200320 in words is "two trillion, nine billion, three hundred forty-two million, two hundred thousand, three hundred twenty".