2989729344 has 448 divisors, whose sum is σ = 10323210240. Its totient is φ = 743178240.

The previous prime is 2989729321. The next prime is 2989729349. The reversal of 2989729344 is 4439279892.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (7838208) is a multiple of the sum of its prime divisors (216).

It is not an unprimeable number, because it can be changed into a prime (2989729349) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 30821904 + ... + 30822000.

It is an arithmetic number, because the mean of its divisors is an integer number (23042880).

Almost surely, 2^2989729344 is an apocalyptic number.

2989729344 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 2989729344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161605120).

2989729344 is an abundant number, since it is smaller than the sum of its proper divisors (7333480896).

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

2989729344 is a wasteful number, since it uses less digits than its factorization.

2989729344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The square root of 2989729344 is about 54678.4175337948. The cubic root of 2989729344 is about 1440.6018163503.

The spelling of 2989729344 in words is "two billion, nine hundred eighty-nine million, seven hundred twenty-nine thousand, three hundred forty-four".