242301023800 has 288 divisors, whose sum is σ = 657818053200. Its totient is φ = 82651852800.

The previous prime is 242301023761. The next prime is 242301023807. The reversal of 242301023800 is 8320103242.

It is a super-2 number, since 2×242301023800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242301023807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153451411 + ... + 153452989.

Almost surely, 2^242301023800 is an apocalyptic number.

242301023800 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 242301023800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328909026600).

242301023800 is an abundant number, since it is smaller than the sum of its proper divisors (415517029400).

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

242301023800 is a wasteful number, since it uses less digits than its factorization.

242301023800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 242301023800 in words is "two hundred forty-two billion, three hundred one million, twenty-three thousand, eight hundred".