22241478240 has 288 divisors, whose sum is σ = 80176352256. Its totient is φ = 5605770240.

The previous prime is 22241478229. The next prime is 22241478241. The reversal of 22241478240 is 4287414222.

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

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 = 22241478195 and 22241478204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22241478241) 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, 1913727 + ... + 1925313.

It is an arithmetic number, because the mean of its divisors is an integer number (278390112).

Almost surely, 2^22241478240 is an apocalyptic number.

22241478240 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 22241478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40088176128).

22241478240 is an abundant number, since it is smaller than the sum of its proper divisors (57934874016).

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

22241478240 is a wasteful number, since it uses less digits than its factorization.

22241478240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11682 (or 11671 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 22241478240 in words is "twenty-two billion, two hundred forty-one million, four hundred seventy-eight thousand, two hundred forty".