241054119936 has 768 divisors, whose sum is σ = 872726400000. Its totient is φ = 64210599936.

The previous prime is 241054119893. The next prime is 241054119941. The reversal of 241054119936 is 639911450142.

241054119936 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 541 + 19 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 241054119891 and 241054119900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 536868640 + ... + 536869088.

It is an arithmetic number, because the mean of its divisors is an integer number (1136362500).

Almost surely, 2^241054119936 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 241054119936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436363200000).

241054119936 is an abundant number, since it is smaller than the sum of its proper divisors (631672280064).

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

241054119936 is a wasteful number, since it uses less digits than its factorization.

241054119936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 241054119936 in words is "two hundred forty-one billion, fifty-four million, one hundred nineteen thousand, nine hundred thirty-six".