22224810240 has 288 divisors, whose sum is σ = 79485436800. Its totient is φ = 5880176640.

The previous prime is 22224810221. The next prime is 22224810247. The reversal of 22224810240 is 4201842222.

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

It is a super-3 number, since 3×22224810240³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22224810247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4524906 + ... + 4529814.

It is an arithmetic number, because the mean of its divisors is an integer number (275991100).

Almost surely, 2^22224810240 is an apocalyptic number.

22224810240 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 22224810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39742718400).

22224810240 is an abundant number, since it is smaller than the sum of its proper divisors (57260626560).

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

22224810240 is a wasteful number, since it uses less digits than its factorization.

22224810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5070 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 22224810240 in words is "twenty-two billion, two hundred twenty-four million, eight hundred ten thousand, two hundred forty".