20021224608 has 288 divisors, whose sum is σ = 71237117952. Its totient is φ = 5181811200.

The previous prime is 20021224583. The next prime is 20021224633. The reversal of 20021224608 is 80642212002.

It is a happy number.

20021224608 is a `hidden beast` number, since 20 + 0 + 2 + 12 + 24 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (20021224583) and next prime (20021224633).

It is a tau number, because it is divible by the number of its divisors (288).

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, 6895285 + ... + 6898187.

It is an arithmetic number, because the mean of its divisors is an integer number (247351104).

Almost surely, 2^20021224608 is an apocalyptic number.

20021224608 is a gapful number since it is divisible by the number (28) 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 20021224608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35618558976).

20021224608 is an abundant number, since it is smaller than the sum of its proper divisors (51215893344).

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

20021224608 is a wasteful number, since it uses less digits than its factorization.

20021224608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20021224608 in words is "twenty billion, twenty-one million, two hundred twenty-four thousand, six hundred eight".