2825829244224 has 756 divisors, whose sum is σ = 9733105688436. Its totient is φ = 781540171776.

The previous prime is 2825829244193. The next prime is 2825829244241. The reversal of 2825829244224 is 4224429285282.

2825829244224 is a `hidden beast` number, since 2 + 82 + 58 + 2 + 92 + 4 + 422 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1097214350400 + 1728614893824 = 1047480^2 + 1314768^2 .

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 9028208292 + ... + 9028208604.

Almost surely, 2^{2825829244224} is an apocalyptic number.

2825829244224 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 2825829244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866552844218).

2825829244224 is an abundant number, since it is smaller than the sum of its proper divisors (6907276444212).

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

2825829244224 is a wasteful number, since it uses less digits than its factorization.

2825829244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 541 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 2825829244224 in words is "two trillion, eight hundred twenty-five billion, eight hundred twenty-nine million, two hundred forty-four thousand, two hundred twenty-four".