242566919100 has 648 divisors, whose sum is σ = 888564222000. Its totient is φ = 54876979200.

The previous prime is 242566919093. The next prime is 242566919129. The reversal of 242566919100 is 1919665242.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 426303616 + ... + 426304184.

Almost surely, 2^242566919100 is an apocalyptic number.

242566919100 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 242566919100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444282111000).

242566919100 is an abundant number, since it is smaller than the sum of its proper divisors (645997302900).

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

242566919100 is a wasteful number, since it uses less digits than its factorization.

242566919100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 242566919100 in words is "two hundred forty-two billion, five hundred sixty-six million, nine hundred nineteen thousand, one hundred".