242661144 has 48 divisors (see below), whose sum is σ = 666824760. Its totient is φ = 73532800.

The previous prime is 242661143. The next prime is 242661151. The reversal of 242661144 is 441166242.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242661143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38877 + ... + 44684.

Almost surely, 2^242661144 is an apocalyptic number.

242661144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242661144 is an abundant number, since it is smaller than the sum of its proper divisors (424163616).

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

242661144 is a wasteful number, since it uses less digits than its factorization.

242661144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83592 (or 83577 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 242661144 is about 15577.5846651527. The cubic root of 242661144 is about 623.7349507147.

The spelling of 242661144 in words is "two hundred forty-two million, six hundred sixty-one thousand, one hundred forty-four".