2984241792 has 128 divisors (see below), whose sum is σ = 9093634560. Its totient is φ = 849411072.

The previous prime is 2984241791. The next prime is 2984241833. The reversal of 2984241792 is 2971424892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2984241791) 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, 758743 + ... + 762665.

It is an arithmetic number, because the mean of its divisors is an integer number (71044020).

Almost surely, 2^2984241792 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 2984241792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546817280).

2984241792 is an abundant number, since it is smaller than the sum of its proper divisors (6109392768).

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

2984241792 is a wasteful number, since it uses less digits than its factorization.

2984241792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4218 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 2984241792 is about 54628.2142486829. The cubic root of 2984241792 is about 1439.7198837855.

The spelling of 2984241792 in words is "two billion, nine hundred eighty-four million, two hundred forty-one thousand, seven hundred ninety-two".