241345802880 has 1024 divisors, whose sum is σ = 1086175641600. Its totient is φ = 49268736000.

The previous prime is 241345802843. The next prime is 241345802903. The reversal of 241345802880 is 88208543142.

241345802880 is a `hidden beast` number, since 2 + 41 + 3 + 4 + 580 + 28 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48744405 + ... + 48749355.

It is an arithmetic number, because the mean of its divisors is an integer number (1060718400).

Almost surely, 2^241345802880 is an apocalyptic number.

241345802880 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 241345802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543087820800).

241345802880 is an abundant number, since it is smaller than the sum of its proper divisors (844829838720).

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

241345802880 is a wasteful number, since it uses less digits than its factorization.

241345802880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 241345802880 in words is "two hundred forty-one billion, three hundred forty-five million, eight hundred two thousand, eight hundred eighty".