2009132693568 has 2016 divisors, whose sum is σ = 8286957020160. Its totient is φ = 474368348160.

The previous prime is 2009132693501. The next prime is 2009132693609. The reversal of 2009132693568 is 8653962319002.

2009132693568 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 13 + 2 + 69 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×2009132693568² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11224204903 + ... + 11224205081.

It is an arithmetic number, because the mean of its divisors is an integer number (4110593760).

Almost surely, 2^{2009132693568} is an apocalyptic number.

2009132693568 is a gapful number since it is divisible by the number (28) 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 2009132693568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143478510080).

2009132693568 is an abundant number, since it is smaller than the sum of its proper divisors (6277824326592).

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

2009132693568 is a wasteful number, since it uses less digits than its factorization.

2009132693568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 2009132693568 in words is "two trillion, nine billion, one hundred thirty-two million, six hundred ninety-three thousand, five hundred sixty-eight".