242551872 has 168 divisors, whose sum is σ = 752856000. Its totient is φ = 74400768.

The previous prime is 242551867. The next prime is 242551877. The reversal of 242551872 is 278155242.

It is a happy number.

242551872 is a `hidden beast` number, since 24 + 2 + 551 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (242551867) and next prime (242551877).

It is a super-2 number, since 2×242551872² = 117662821221408768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242551877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404629 + ... + 405227.

Almost surely, 2^242551872 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 242551872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376428000).

242551872 is an abundant number, since it is smaller than the sum of its proper divisors (510304128).

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

242551872 is a wasteful number, since it uses less digits than its factorization.

242551872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 242551872 is about 15574.0769228870. The cubic root of 242551872 is about 623.6413125966.

The spelling of 242551872 in words is "two hundred forty-two million, five hundred fifty-one thousand, eight hundred seventy-two".