243144750240 has 1728 divisors, whose sum is σ = 1084180930560. Its totient is φ = 51157370880.

The previous prime is 243144750197. The next prime is 243144750259. The reversal of 243144750240 is 42057441342.

243144750240 is a `hidden beast` number, since 2 + 4 + 3 + 144 + 7 + 502 + 4 + 0 = 666.

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 = 243144750195 and 243144750204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1358350471 + ... + 1358350649.

It is an arithmetic number, because the mean of its divisors is an integer number (627419520).

Almost surely, 2^243144750240 is an apocalyptic number.

243144750240 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 243144750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542090465280).

243144750240 is an abundant number, since it is smaller than the sum of its proper divisors (841036180320).

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

243144750240 is a wasteful number, since it uses less digits than its factorization.

243144750240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 243144750240 in words is "two hundred forty-three billion, one hundred forty-four million, seven hundred fifty thousand, two hundred forty".