2989793123328 has 176 divisors, whose sum is σ = 8695323501696. Its totient is φ = 905790504960.

The previous prime is 2989793123321. The next prime is 2989793123347. The reversal of 2989793123328 is 8233213979892.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2989793123321) by changing a digit.

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, 215349475 + ... + 215363357.

Almost surely, 2^{2989793123328} 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 2989793123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4347661750848).

2989793123328 is an abundant number, since it is smaller than the sum of its proper divisors (5705530378368).

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

2989793123328 is a wasteful number, since it uses less digits than its factorization.

2989793123328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20290 (or 20272 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 66.

The spelling of 2989793123328 in words is "two trillion, nine hundred eighty-nine billion, seven hundred ninety-three million, one hundred twenty-three thousand, three hundred twenty-eight".