242368029900 has 216 divisors, whose sum is σ = 829291852480. Its totient is φ = 61229701440.

The previous prime is 242368029889. The next prime is 242368029901. The reversal of 242368029900 is 9920863242.

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

It is not an unprimeable number, because it can be changed into a prime (242368029901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 199227 + ... + 724173.

Almost surely, 2^242368029900 is an apocalyptic number.

242368029900 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 242368029900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414645926240).

242368029900 is an abundant number, since it is smaller than the sum of its proper divisors (586923822580).

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

242368029900 is a wasteful number, since it uses less digits than its factorization.

242368029900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524995 (or 524976 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 242368029900 in words is "two hundred forty-two billion, three hundred sixty-eight million, twenty-nine thousand, nine hundred".