242322300321024 has 432 divisors, whose sum is σ = 824401952853696. Its totient is φ = 62481420288000.

The previous prime is 242322300320963. The next prime is 242322300321041. The reversal of 242322300321024 is 420123003223242.

It is a junction number, because it is equal to n+sod(n) for n = 242322300320982 and 242322300321000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54574974 + ... + 58847874.

It is an arithmetic number, because the mean of its divisors is an integer number (1908337853828).

Almost surely, 2^{242322300321024} is an apocalyptic number.

242322300321024 is a gapful number since it is divisible by the number (24) 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 242322300321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412200976426848).

242322300321024 is an abundant number, since it is smaller than the sum of its proper divisors (582079652532672).

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

242322300321024 is a wasteful number, since it uses less digits than its factorization.

242322300321024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273082 (or 4273061 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 242322300321024 its reverse (420123003223242), we get a palindrome (662445303544266).

The spelling of 242322300321024 in words is "two hundred forty-two trillion, three hundred twenty-two billion, three hundred million, three hundred twenty-one thousand, twenty-four".