242803680 has 192 divisors, whose sum is σ = 882524160. Its totient is φ = 54964224.

The previous prime is 242803669. The next prime is 242803723. The reversal of 242803680 is 86308242.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426436 + ... + 427004.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2^242803680 is an apocalyptic number.

242803680 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 242803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441262080).

242803680 is an abundant number, since it is smaller than the sum of its proper divisors (639720480).

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

242803680 is a wasteful number, since it uses less digits than its factorization.

242803680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 242803680 is about 15582.1590288381. The cubic root of 242803680 is about 623.8570514104.

The spelling of 242803680 in words is "two hundred forty-two million, eight hundred three thousand, six hundred eighty".