224630538240 has 288 divisors, whose sum is σ = 730988901216. Its totient is φ = 58888028160.

The previous prime is 224630538239. The next prime is 224630538257. The reversal of 224630538240 is 42835036422.

224630538240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119929944 + ... + 119931816.

It is an arithmetic number, because the mean of its divisors is an integer number (2538155907).

Almost surely, 2^224630538240 is an apocalyptic number.

224630538240 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 224630538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365494450608).

224630538240 is an abundant number, since it is smaller than the sum of its proper divisors (506358362976).

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

224630538240 is an frugal number, since it uses more digits than its factorization.

224630538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 224630538240 in words is "two hundred twenty-four billion, six hundred thirty million, five hundred thirty-eight thousand, two hundred forty".