2009305620 has 144 divisors (see below), whose sum is σ = 6976744320. Its totient is φ = 458535168.

The previous prime is 2009305607. The next prime is 2009305621. The reversal of 2009305620 is 265039002.

2009305620 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 30 + 5 + 620 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009305621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376451 + ... + 1377909.

Almost surely, 2^2009305620 is an apocalyptic number.

2009305620 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 2009305620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488372160).

2009305620 is an abundant number, since it is smaller than the sum of its proper divisors (4967438700).

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

2009305620 is a wasteful number, since it uses less digits than its factorization.

2009305620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2009305620 is about 44825.2788056025. The cubic root of 2009305620 is about 1261.8720848381.

The spelling of 2009305620 in words is "two billion, nine million, three hundred five thousand, six hundred twenty".