242723040 has 384 divisors, whose sum is σ = 940584960. Its totient is φ = 51437568.

The previous prime is 242723027. The next prime is 242723057. The reversal of 242723040 is 40327242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242723040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4579654 + ... + 4579706.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2^242723040 is an apocalyptic number.

242723040 is a gapful number since it is divisible by the number (20) 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 242723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470292480).

242723040 is an abundant number, since it is smaller than the sum of its proper divisors (697861920).

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

242723040 is a wasteful number, since it uses less digits than its factorization.

242723040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 242723040 is about 15579.5712392864. The cubic root of 242723040 is about 623.7879785926.

The spelling of 242723040 in words is "two hundred forty-two million, seven hundred twenty-three thousand, forty".