242928506880 has 576 divisors, whose sum is σ = 876972096000. Its totient is φ = 62142087168.

The previous prime is 242928506861. The next prime is 242928506881. The reversal of 242928506880 is 88605829242.

It is a happy number.

242928506880 is a `hidden beast` number, since 2 + 42 + 92 + 8 + 506 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242928506881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233809401 + ... + 233810439.

It is an arithmetic number, because the mean of its divisors is an integer number (1522521000).

Almost surely, 2^242928506880 is an apocalyptic number.

242928506880 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 242928506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438486048000).

242928506880 is an abundant number, since it is smaller than the sum of its proper divisors (634043589120).

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

242928506880 is a wasteful number, since it uses less digits than its factorization.

242928506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 242928506880 in words is "two hundred forty-two billion, nine hundred twenty-eight million, five hundred six thousand, eight hundred eighty".