2009364724224 has 1200 divisors, whose sum is σ = 7208864451360. Its totient is φ = 552247787520.

The previous prime is 2009364724219. The next prime is 2009364724259. The reversal of 2009364724224 is 4224274639002.

It is a happy number.

2009364724224 is a `hidden beast` number, since 20 + 0 + 9 + 364 + 7 + 242 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2009364724224.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5165461822 + ... + 5165462210.

Almost surely, 2^{2009364724224} is an apocalyptic number.

2009364724224 is a gapful number since it is divisible by the number (24) 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 2009364724224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604432225680).

2009364724224 is an abundant number, since it is smaller than the sum of its proper divisors (5199499727136).

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

2009364724224 is a wasteful number, since it uses less digits than its factorization.

2009364724224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2009364724224 in words is "two trillion, nine billion, three hundred sixty-four million, seven hundred twenty-four thousand, two hundred twenty-four".