242754624 has 336 divisors, whose sum is σ = 861730560. Its totient is φ = 66769920.

The previous prime is 242754613. The next prime is 242754637. The reversal of 242754624 is 426457242.

242754624 is a `hidden beast` number, since 2 + 4 + 27 + 5 + 4 + 624 = 666.

242754624 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (107520) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3979554 + ... + 3979614.

Almost surely, 2^242754624 is an apocalyptic number.

242754624 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 242754624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430865280).

242754624 is an abundant number, since it is smaller than the sum of its proper divisors (618975936).

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

242754624 is a wasteful number, since it uses less digits than its factorization.

242754624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 242754624 is about 15580.5848413980. The cubic root of 242754624 is about 623.8150339352.

The spelling of 242754624 in words is "two hundred forty-two million, seven hundred fifty-four thousand, six hundred twenty-four".