2009588352 has 128 divisors (see below), whose sum is σ = 5704166400. Its totient is φ = 624983040.

The previous prime is 2009588327. The next prime is 2009588443. The reversal of 2009588352 is 2538859002.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486777 + ... + 490887.

It is an arithmetic number, because the mean of its divisors is an integer number (44563800).

Almost surely, 2^2009588352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009588352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852083200).

2009588352 is an abundant number, since it is smaller than the sum of its proper divisors (3694578048).

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

2009588352 is a wasteful number, since it uses less digits than its factorization.

2009588352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2009588352 is about 44828.4324062308. The cubic root of 2009588352 is about 1261.9312686148.

The spelling of 2009588352 in words is "two billion, nine million, five hundred eighty-eight thousand, three hundred fifty-two".