242352045300 has 144 divisors (see below), whose sum is σ = 715093106112. Its totient is φ = 63349478400.

The previous prime is 242352045283. The next prime is 242352045307. The reversal of 242352045300 is 3540253242.

It is a super-2 number, since 2×242352045300² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242352045307) 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, 18866880 + ... + 18879720.

It is an arithmetic number, because the mean of its divisors is an integer number (4965924348).

Almost surely, 2^242352045300 is an apocalyptic number.

242352045300 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 242352045300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357546553056).

242352045300 is an abundant number, since it is smaller than the sum of its proper divisors (472741060812).

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

242352045300 is a wasteful number, since it uses less digits than its factorization.

242352045300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14098 (or 14091 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 242352045300 its reverse (3540253242), we get a palindrome (245892298542).

The spelling of 242352045300 in words is "two hundred forty-two billion, three hundred fifty-two million, forty-five thousand, three hundred".