20449540224 has 192 divisors, whose sum is σ = 59958670200. Its totient is φ = 6688604160.

The previous prime is 20449540219. The next prime is 20449540253. The reversal of 20449540224 is 42204594402.

20449540224 is a `hidden beast` number, since 204 + 49 + 5 + 402 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18354830400 + 2094709824 = 135480^2 + 45768^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20266632 + ... + 20267640.

Almost surely, 2^20449540224 is an apocalyptic number.

20449540224 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 20449540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29979335100).

20449540224 is an abundant number, since it is smaller than the sum of its proper divisors (39509129976).

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

20449540224 is a wasteful number, since it uses less digits than its factorization.

20449540224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 20449540224 in words is "twenty billion, four hundred forty-nine million, five hundred forty thousand, two hundred twenty-four".