22008903840 has 1152 divisors, whose sum is σ = 102047662080. Its totient is φ = 4180377600.

The previous prime is 22008903823. The next prime is 22008903863. The reversal of 22008903840 is 4830980022.

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

It is a junction number, because it is equal to n+sod(n) for n = 22008903795 and 22008903804.

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 191 ways as a sum of consecutive naturals, for example, 65308152 + ... + 65308488.

It is an arithmetic number, because the mean of its divisors is an integer number (88583040).

Almost surely, 2^22008903840 is an apocalyptic number.

22008903840 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 22008903840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51023831040).

22008903840 is an abundant number, since it is smaller than the sum of its proper divisors (80038758240).

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

22008903840 is a wasteful number, since it uses less digits than its factorization.

22008903840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22008903840 in words is "twenty-two billion, eight million, nine hundred three thousand, eight hundred forty".