242375889600 has 336 divisors, whose sum is σ = 951517467040. Its totient is φ = 59661619200.

The previous prime is 242375889599. The next prime is 242375889617. The reversal of 242375889600 is 6988573242.

242375889600 is a `hidden beast` number, since 2 + 4 + 23 + 7 + 5 + 8 + 8 + 9 + 600 = 666.

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

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, 345810 + ... + 777390.

Almost surely, 2^242375889600 is an apocalyptic number.

242375889600 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 242375889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475758733520).

242375889600 is an abundant number, since it is smaller than the sum of its proper divisors (709141577440).

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

242375889600 is a wasteful number, since it uses less digits than its factorization.

242375889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431625 (or 431604 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 242375889600 in words is "two hundred forty-two billion, three hundred seventy-five million, eight hundred eighty-nine thousand, six hundred".