2841984144 has 240 divisors, whose sum is σ = 8764689024. Its totient is φ = 889574400.

The previous prime is 2841984143. The next prime is 2841984191. The reversal of 2841984144 is 4414891482.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2841984144.

It is not an unprimeable number, because it can be changed into a prime (2841984143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5454604 + ... + 5455124.

Almost surely, 2^2841984144 is an apocalyptic number.

2841984144 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 2841984144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382344512).

2841984144 is an abundant number, since it is smaller than the sum of its proper divisors (5922704880).

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

2841984144 is a wasteful number, since it uses less digits than its factorization.

2841984144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 610 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 2841984144 is about 53310.2630269257. The cubic root of 2841984144 is about 1416.4694651335.

The spelling of 2841984144 in words is "two billion, eight hundred forty-one million, nine hundred eighty-four thousand, one hundred forty-four".