240704948880 has 960 divisors, whose sum is σ = 1025857198080. Its totient is φ = 49755340800.

The previous prime is 240704948867. The next prime is 240704948927. The reversal of 240704948880 is 88849407042.

240704948880 is a `hidden beast` number, since 2 + 4 + 0 + 70 + 494 + 8 + 8 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58835635 + ... + 58839725.

It is an arithmetic number, because the mean of its divisors is an integer number (1068601248).

Almost surely, 2^240704948880 is an apocalyptic number.

240704948880 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 240704948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512928599040).

240704948880 is an abundant number, since it is smaller than the sum of its proper divisors (785152249200).

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

240704948880 is a wasteful number, since it uses less digits than its factorization.

240704948880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 240704948880 in words is "two hundred forty billion, seven hundred four million, nine hundred forty-eight thousand, eight hundred eighty".