243224017920 has 704 divisors, whose sum is σ = 953857457280. Its totient is φ = 58392576000.

The previous prime is 243224017913. The next prime is 243224017943. The reversal of 243224017920 is 29710422342.

It is a happy number.

243224017920 is a `hidden beast` number, since 243 + 2 + 2 + 401 + 7 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×243224017920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73680270 + ... + 73683570.

Almost surely, 2^243224017920 is an apocalyptic number.

243224017920 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 243224017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476928728640).

243224017920 is an abundant number, since it is smaller than the sum of its proper divisors (710633439360).

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

243224017920 is a wasteful number, since it uses less digits than its factorization.

243224017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 243224017920 in words is "two hundred forty-three billion, two hundred twenty-four million, seventeen thousand, nine hundred twenty".