242377850880 has 1024 divisors, whose sum is σ = 998816313600. Its totient is φ = 55113154560.

The previous prime is 242377850849. The next prime is 242377850917. The reversal of 242377850880 is 88058773242.

242377850880 is a `hidden beast` number, since 24 + 2 + 37 + 7 + 8 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 827228014 + ... + 827228306.

Almost surely, 2^242377850880 is an apocalyptic number.

242377850880 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 242377850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499408156800).

242377850880 is an abundant number, since it is smaller than the sum of its proper divisors (756438462720).

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

242377850880 is a wasteful number, since it uses less digits than its factorization.

242377850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 242377850880 in words is "two hundred forty-two billion, three hundred seventy-seven million, eight hundred fifty thousand, eight hundred eighty".