2829484224 has 504 divisors, whose sum is σ = 10118384640. Its totient is φ = 781208064.

The previous prime is 2829484187. The next prime is 2829484241. The reversal of 2829484224 is 4224849282.

It is a tau number, because it is divible by the number of its divisors (504).

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 2829484224.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35816217 + ... + 35816295.

It is an arithmetic number, because the mean of its divisors is an integer number (20076160).

Almost surely, 2^2829484224 is an apocalyptic number.

2829484224 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 2829484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059192320).

2829484224 is an abundant number, since it is smaller than the sum of its proper divisors (7288900416).

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

2829484224 is an equidigital number, since it uses as much as digits as its factorization.

2829484224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 2829484224 is about 53192.8963678422. The cubic root of 2829484224 is about 1414.3897236377.

The spelling of 2829484224 in words is "two billion, eight hundred twenty-nine million, four hundred eighty-four thousand, two hundred twenty-four".