2683828224 has 576 divisors, whose sum is σ = 10139351040. Its totient is φ = 663552000.

The previous prime is 2683828207. The next prime is 2683828237. The reversal of 2683828224 is 4228283862.

2683828224 is a `hidden beast` number, since 268 + 382 + 8 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 2683828224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43997154 + ... + 43997214.

It is an arithmetic number, because the mean of its divisors is an integer number (17603040).

Almost surely, 2^2683828224 is an apocalyptic number.

2683828224 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 2683828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069675520).

2683828224 is an abundant number, since it is smaller than the sum of its proper divisors (7455522816).

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

2683828224 is a wasteful number, since it uses less digits than its factorization.

2683828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

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

The square root of 2683828224 is about 51805.6775266959. The cubic root of 2683828224 is about 1389.6909797322.

The spelling of 2683828224 in words is "two billion, six hundred eighty-three million, eight hundred twenty-eight thousand, two hundred twenty-four".