2683684224 has 192 divisors, whose sum is σ = 8625948240. Its totient is φ = 825624576.

The previous prime is 2683684217. The next prime is 2683684247. The reversal of 2683684224 is 4224863862.

2683684224 is a `hidden beast` number, since 2 + 68 + 368 + 4 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2683684224² = 14404322028292964352, which contains 22 as substring.

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 2683684224.

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 23 ways as a sum of consecutive naturals, for example, 401034 + ... + 407670.

Almost surely, 2^2683684224 is an apocalyptic number.

2683684224 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 2683684224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312974120).

2683684224 is an abundant number, since it is smaller than the sum of its proper divisors (5942264016).

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

2683684224 is an equidigital number, since it uses as much as digits as its factorization.

2683684224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679 (or 6655 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 2683684224 is about 51804.2876989926. The cubic root of 2683684224 is about 1389.6661248031. Note that the first 3 decimals are identical.

The spelling of 2683684224 in words is "two billion, six hundred eighty-three million, six hundred eighty-four thousand, two hundred twenty-four".