2009597000 has 96 divisors (see below), whose sum is σ = 4773585960. Its totient is φ = 791840000.

The previous prime is 2009596991. The next prime is 2009597027. The reversal of 2009597000 is 7959002.

It can be written as a sum of positive squares in 12 ways, for example, as 823345636 + 1186251364 = 28694^2 + 34442^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10200902 + ... + 10201098.

Almost surely, 2^2009597000 is an apocalyptic number.

2009597000 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 2009597000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386792980).

2009597000 is an abundant number, since it is smaller than the sum of its proper divisors (2763988960).

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

2009597000 is a wasteful number, since it uses less digits than its factorization.

2009597000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 2009597000 is about 44828.5288627677. The cubic root of 2009597000 is about 1261.9330787975.

The spelling of 2009597000 in words is "two billion, nine million, five hundred ninety-seven thousand".