2009597472 has 288 divisors, whose sum is σ = 6567220800. Its totient is φ = 595703808.

The previous prime is 2009597441. The next prime is 2009597477. The reversal of 2009597472 is 2747959002.

2009597472 is a `hidden beast` number, since 2 + 0 + 0 + 95 + 97 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2009597477) 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, 5302179 + ... + 5302557.

It is an arithmetic number, because the mean of its divisors is an integer number (22802850).

Almost surely, 2^2009597472 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 2009597472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283610400).

2009597472 is an abundant number, since it is smaller than the sum of its proper divisors (4557623328).

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

2009597472 is a wasteful number, since it uses less digits than its factorization.

2009597472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 2009597472 is about 44828.5341272721. The cubic root of 2009597472 is about 1261.9331775954.

The spelling of 2009597472 in words is "two billion, nine million, five hundred ninety-seven thousand, four hundred seventy-two".