242055313500 has 768 divisors, whose sum is σ = 972193517568. Its totient is φ = 45163008000.

The previous prime is 242055313481. The next prime is 242055313553. The reversal of 242055313500 is 5313550242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 55553322 + ... + 55557678.

It is an arithmetic number, because the mean of its divisors is an integer number (1265876976).

Almost surely, 2^242055313500 is an apocalyptic number.

242055313500 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 242055313500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486096758784).

242055313500 is an abundant number, since it is smaller than the sum of its proper divisors (730138204068).

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

242055313500 is a wasteful number, since it uses less digits than its factorization.

242055313500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 242055313500 its reverse (5313550242), we get a palindrome (247368863742).

It can be divided in two parts, 242055 and 313500, that added together give a palindrome (555555).

The spelling of 242055313500 in words is "two hundred forty-two billion, fifty-five million, three hundred thirteen thousand, five hundred".