241242144 has 96 divisors (see below), whose sum is σ = 744012864. Its totient is φ = 67476480.

The previous prime is 241242047. The next prime is 241242173. The reversal of 241242144 is 441242142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4942 + ... + 22514.

It is an arithmetic number, because the mean of its divisors is an integer number (7750134).

Almost surely, 2^241242144 is an apocalyptic number.

241242144 is a gapful number since it is divisible by the number (24) 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 241242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372006432).

241242144 is an abundant number, since it is smaller than the sum of its proper divisors (502770720).

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

241242144 is a wasteful number, since it uses less digits than its factorization.

241242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17610 (or 17602 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 241242144 is about 15531.9716713623. The cubic root of 241242144 is about 622.5167763741.

Adding to 241242144 its reverse (441242142), we get a palindrome (682484286).

The spelling of 241242144 in words is "two hundred forty-one million, two hundred forty-two thousand, one hundred forty-four".