241832640 has 336 divisors, whose sum is σ = 919410912. Its totient is φ = 53673984.

The previous prime is 241832639. The next prime is 241832641. The reversal of 241832640 is 46238142.

It is an interprime number because it is at equal distance from previous prime (241832639) and next prime (241832641).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241832598 and 241832607.

It is not an unprimeable number, because it can be changed into a prime (241832641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2493072 + ... + 2493168.

It is an arithmetic number, because the mean of its divisors is an integer number (2736342).

Almost surely, 2^241832640 is an apocalyptic number.

241832640 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 241832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459705456).

241832640 is an abundant number, since it is smaller than the sum of its proper divisors (677578272).

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

241832640 is a wasteful number, since it uses less digits than its factorization.

241832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 241832640 is about 15550.9691016348. The cubic root of 241832640 is about 623.0242804996.

The spelling of 241832640 in words is "two hundred forty-one million, eight hundred thirty-two thousand, six hundred forty".