241985536 has 96 divisors (see below), whose sum is σ = 533169000. Its totient is φ = 109117440.

The previous prime is 241985533. The next prime is 241985543. The reversal of 241985536 is 635589142.

241985536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48219136 + 193766400 = 6944^2 + 13920^2 .

Its product of digits (259200) is a multiple of the sum of its prime divisors (225).

It is a junction number, because it is equal to n+sod(n) for n = 241985492 and 241985501.

It is not an unprimeable number, because it can be changed into a prime (241985533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1623990 + ... + 1624138.

Almost surely, 2^241985536 is an apocalyptic number.

241985536 is a gapful number since it is divisible by the number (26) 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 241985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266584500).

241985536 is an abundant number, since it is smaller than the sum of its proper divisors (291183464).

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

241985536 is a wasteful number, since it uses less digits than its factorization.

241985536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The square root of 241985536 is about 15555.8842885900. The cubic root of 241985536 is about 623.1555528983.

The spelling of 241985536 in words is "two hundred forty-one million, nine hundred eighty-five thousand, five hundred thirty-six".