224053340280 has 256 divisors, whose sum is σ = 838358553600. Its totient is φ = 46537605120.

The previous prime is 224053340263. The next prime is 224053340281. The reversal of 224053340280 is 82043350422.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224053340281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43175926 + ... + 43181114.

It is an arithmetic number, because the mean of its divisors is an integer number (3274838100).

Almost surely, 2^224053340280 is an apocalyptic number.

224053340280 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 224053340280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419179276800).

224053340280 is an abundant number, since it is smaller than the sum of its proper divisors (614305213320).

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

224053340280 is a wasteful number, since it uses less digits than its factorization.

224053340280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9894 (or 9890 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 224053340280 in words is "two hundred twenty-four billion, fifty-three million, three hundred forty thousand, two hundred eighty".