242041824 has 96 divisors (see below), whose sum is σ = 708654240. Its totient is φ = 80372736.

The previous prime is 242041823. The next prime is 242041837. The reversal of 242041824 is 428140242.

242041824 is a `hidden beast` number, since 242 + 0 + 418 + 2 + 4 = 666.

242041824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242041823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394542 + ... + 395154.

It is an arithmetic number, because the mean of its divisors is an integer number (7381815).

Almost surely, 2^242041824 is an apocalyptic number.

242041824 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 242041824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354327120).

242041824 is an abundant number, since it is smaller than the sum of its proper divisors (466612416).

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

242041824 is a wasteful number, since it uses less digits than its factorization.

242041824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 242041824 is about 15557.6934023010. The cubic root of 242041824 is about 623.2038663375.

It can be divided in two parts, 2420 and 41824, that added together give a palindrome (44244).

The spelling of 242041824 in words is "two hundred forty-two million, forty-one thousand, eight hundred twenty-four".