224705249280 has 864 divisors, whose sum is σ = 865650711744. Its totient is φ = 55717134336.

The previous prime is 224705249267. The next prime is 224705249347. The reversal of 224705249280 is 82942507422.

224705249280 is a `hidden beast` number, since 2 + 2 + 47 + 0 + 524 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2707292119 + ... + 2707292201.

It is an arithmetic number, because the mean of its divisors is an integer number (1001910546).

Almost surely, 2^224705249280 is an apocalyptic number.

224705249280 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 224705249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432825355872).

224705249280 is an abundant number, since it is smaller than the sum of its proper divisors (640945462464).

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

224705249280 is an frugal number, since it uses more digits than its factorization.

224705249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 224705249280 in words is "two hundred twenty-four billion, seven hundred five million, two hundred forty-nine thousand, two hundred eighty".