22480217319840 has 768 divisors, whose sum is σ = 84322768158720. Its totient is φ = 4926156963840.

The previous prime is 22480217319827. The next prime is 22480217319869. The reversal of 22480217319840 is 4891371208422.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5721610996 + ... + 5721614924.

It is an arithmetic number, because the mean of its divisors is an integer number (109795271040).

Almost surely, 2^{22480217319840} is an apocalyptic number.

22480217319840 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 22480217319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42161384079360).

22480217319840 is an abundant number, since it is smaller than the sum of its proper divisors (61842550838880).

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

22480217319840 is a wasteful number, since it uses less digits than its factorization.

22480217319840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 22480217319840 in words is "twenty-two trillion, four hundred eighty billion, two hundred seventeen million, three hundred nineteen thousand, eight hundred forty".