2989728000 has 432 divisors, whose sum is σ = 12303048576. Its totient is φ = 682905600.

The previous prime is 2989727959. The next prime is 2989728029. The reversal of 2989728000 is 8279892.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015259 + ... + 2016741.

Almost surely, 2^2989728000 is an apocalyptic number.

2989728000 is a gapful number since it is divisible by the number (20) 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 2989728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6151524288).

2989728000 is an abundant number, since it is smaller than the sum of its proper divisors (9313320576).

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

2989728000 is a wasteful number, since it uses less digits than its factorization.

2989728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2989728000 is about 54678.4052437523. The cubic root of 2989728000 is about 1440.6016004813.

The spelling of 2989728000 in words is "two billion, nine hundred eighty-nine million, seven hundred twenty-eight thousand".