2009138593792 has 288 divisors, whose sum is σ = 4683845295360. Its totient is φ = 852618117120.

The previous prime is 2009138593753. The next prime is 2009138593829. The reversal of 2009138593792 is 2973958319002.

It is a congruent number.

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, 1425931584 + ... + 1425932992.

It is an arithmetic number, because the mean of its divisors is an integer number (16263351720).

Almost surely, 2^{2009138593792} is an apocalyptic number.

2009138593792 is a gapful number since it is divisible by the number (22) 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 2009138593792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341922647680).

2009138593792 is an abundant number, since it is smaller than the sum of its proper divisors (2674706701568).

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

2009138593792 is an equidigital number, since it uses as much as digits as its factorization.

2009138593792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 58.

The spelling of 2009138593792 in words is "two trillion, nine billion, one hundred thirty-eight million, five hundred ninety-three thousand, seven hundred ninety-two".