241985664 has 64 divisors (see below), whose sum is σ = 714204000. Its totient is φ = 80660736.

The previous prime is 241985663. The next prime is 241985669. The reversal of 241985664 is 466589142.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (241985663) 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 7 ways as a sum of consecutive naturals, for example, 31554 + ... + 38465.

Almost surely, 2^241985664 is an apocalyptic number.

241985664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241985664 is an abundant number, since it is smaller than the sum of its proper divisors (472218336).

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

241985664 is an equidigital number, since it uses as much as digits as its factorization.

241985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70042 (or 70024 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 241985664 is about 15555.8884027882. Note that the first 3 decimals coincide. The cubic root of 241985664 is about 623.1556627725.

The spelling of 241985664 in words is "two hundred forty-one million, nine hundred eighty-five thousand, six hundred sixty-four".