21950724224 has 320 divisors, whose sum is σ = 55884994200. Its totient is φ = 8504770560.

The previous prime is 21950724217. The next prime is 21950724247. The reversal of 21950724224 is 42242705912.

It can be written as a sum of positive squares in 4 ways, for example, as 19700929600 + 2249794624 = 140360^2 + 47432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 414164582 + ... + 414164634.

Almost surely, 2^21950724224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21950724224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27942497100).

21950724224 is an abundant number, since it is smaller than the sum of its proper divisors (33934269976).

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

21950724224 is an equidigital number, since it uses as much as digits as its factorization.

21950724224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 21950724224 in words is "twenty-one billion, nine hundred fifty million, seven hundred twenty-four thousand, two hundred twenty-four".