241008768 has 576 divisors, whose sum is σ = 987604800. Its totient is φ = 54743040.

The previous prime is 241008767. The next prime is 241008769. The reversal of 241008768 is 867800142.

It is an interprime number because it is at equal distance from previous prime (241008767) and next prime (241008769).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241008767) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12684663 + ... + 12684681.

Almost surely, 2^241008768 is an apocalyptic number.

241008768 is a gapful number since it is divisible by the number (28) 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 241008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493802400).

241008768 is an abundant number, since it is smaller than the sum of its proper divisors (746596032).

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

241008768 is a wasteful number, since it uses less digits than its factorization.

241008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 241008768 is about 15524.4570919565. The cubic root of 241008768 is about 622.3159721174.

The spelling of 241008768 in words is "two hundred forty-one million, eight thousand, seven hundred sixty-eight".