2989518000 has 640 divisors, whose sum is σ = 12033515520. Its totient is φ = 623001600.

The previous prime is 2989517959. The next prime is 2989518011. The reversal of 2989518000 is 8159892.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37841961 + ... + 37842039.

It is an arithmetic number, because the mean of its divisors is an integer number (18802368).

Almost surely, 2^2989518000 is an apocalyptic number.

2989518000 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 2989518000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016757760).

2989518000 is an abundant number, since it is smaller than the sum of its proper divisors (9043997520).

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

2989518000 is a wasteful number, since it uses less digits than its factorization.

2989518000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 2989518000 is about 54676.4848906731. The cubic root of 2989518000 is about 1440.5678701643.

It can be divided in two parts, 29895 and 18000, that added together give a triangular number (47895 = T₃₀₉).

The spelling of 2989518000 in words is "two billion, nine hundred eighty-nine million, five hundred eighteen thousand".