242197824 has 112 divisors (see below), whose sum is σ = 716377536. Its totient is φ = 71577600.

The previous prime is 242197811. The next prime is 242197841. The reversal of 242197824 is 428791242.

It is a happy number.

242197824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 85194 + ... + 87990.

It is an arithmetic number, because the mean of its divisors is an integer number (6396228).

Almost surely, 2^242197824 is an apocalyptic number.

242197824 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 242197824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358188768).

242197824 is an abundant number, since it is smaller than the sum of its proper divisors (474179712).

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

242197824 is a wasteful number, since it uses less digits than its factorization.

242197824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2854 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 242197824 is about 15562.7061914051. The cubic root of 242197824 is about 623.3377260185.

The spelling of 242197824 in words is "two hundred forty-two million, one hundred ninety-seven thousand, eight hundred twenty-four".