2009533680384 has 144 divisors (see below), whose sum is σ = 5664699411840. Its totient is φ = 630241116160.

The previous prime is 2009533680289. The next prime is 2009533680397. The reversal of 2009533680384 is 4830863359002.

It is a super-2 number, since 2×2009533680384² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43988947 + ... + 44034605.

It is an arithmetic number, because the mean of its divisors is an integer number (39338190360).

Almost surely, 2^{2009533680384} is an apocalyptic number.

2009533680384 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 2009533680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832349705920).

2009533680384 is an abundant number, since it is smaller than the sum of its proper divisors (3655165731456).

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

2009533680384 is a wasteful number, since it uses less digits than its factorization.

2009533680384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49066 (or 49052 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 2009533680384 in words is "two trillion, nine billion, five hundred thirty-three million, six hundred eighty thousand, three hundred eighty-four".