243480584880 has 480 divisors, whose sum is σ = 919733990400. Its totient is φ = 59168019456.

The previous prime is 243480584843. The next prime is 243480584887. The reversal of 243480584880 is 88485084342.

243480584880 is a `hidden beast` number, since 2 + 4 + 3 + 480 + 5 + 84 + 8 + 80 = 666.

It is a super-2 number, since 2×243480584880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (243480584887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28833939 + ... + 28842381.

It is an arithmetic number, because the mean of its divisors is an integer number (1916112480).

Almost surely, 2^243480584880 is an apocalyptic number.

243480584880 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 243480584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459866995200).

243480584880 is an abundant number, since it is smaller than the sum of its proper divisors (676253405520).

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

243480584880 is a wasteful number, since it uses less digits than its factorization.

243480584880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8570 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 243480584880 in words is "two hundred forty-three billion, four hundred eighty million, five hundred eighty-four thousand, eight hundred eighty".