242266624 has 40 divisors (see below), whose sum is σ = 492058908. Its totient is φ = 119132160.

The previous prime is 242266589. The next prime is 242266627. The reversal of 242266624 is 426662242.

It can be written as a sum of positive squares in 2 ways, for example, as 238393600 + 3873024 = 15440^2 + 1968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242266624.

It is not an unprimeable number, because it can be changed into a prime (242266627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27354 + ... + 35110.

Almost surely, 2^242266624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242266624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246029454).

242266624 is an abundant number, since it is smaller than the sum of its proper divisors (249792284).

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

242266624 is an frugal number, since it uses more digits than its factorization.

242266624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7836 (or 7820 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

The square root of 242266624 is about 15564.9164469328. The cubic root of 242266624 is about 623.3967433054.

The spelling of 242266624 in words is "two hundred forty-two million, two hundred sixty-six thousand, six hundred twenty-four".