22006249920 has 336 divisors, whose sum is σ = 79955684640. Its totient is φ = 5539995648.

The previous prime is 22006249891. The next prime is 22006249921. The reversal of 22006249920 is 2994260022.

It is a happy number.

22006249920 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 624 + 9 + 9 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22006249921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21723334 + ... + 21724346.

Almost surely, 2^22006249920 is an apocalyptic number.

22006249920 is a gapful number since it is divisible by the number (20) 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 22006249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39977842320).

22006249920 is an abundant number, since it is smaller than the sum of its proper divisors (57949434720).

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

22006249920 is a wasteful number, since it uses less digits than its factorization.

22006249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 22006249920 in words is "twenty-two billion, six million, two hundred forty-nine thousand, nine hundred twenty".