241152879072 has 288 divisors, whose sum is σ = 743675530752. Its totient is φ = 68221633536.

The previous prime is 241152879053. The next prime is 241152879083. The reversal of 241152879072 is 270978251142.

It is a super-2 number, since 2×241152879072² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293016453 + ... + 293017275.

It is an arithmetic number, because the mean of its divisors is an integer number (2582206704).

Almost surely, 2^241152879072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241152879072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371837765376).

241152879072 is an abundant number, since it is smaller than the sum of its proper divisors (502522651680).

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

241152879072 is a wasteful number, since it uses less digits than its factorization.

241152879072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 241152879072 in words is "two hundred forty-one billion, one hundred fifty-two million, eight hundred seventy-nine thousand, seventy-two".