242520503100 has 288 divisors, whose sum is σ = 756740565504. Its totient is φ = 59816064000.

The previous prime is 242520503063. The next prime is 242520503107. The reversal of 242520503100 is 1305025242.

It is a super-2 number, since 2×242520503100² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242520503107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29962654 + ... + 29970746.

It is an arithmetic number, because the mean of its divisors is an integer number (2627571408).

Almost surely, 2^242520503100 is an apocalyptic number.

242520503100 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 242520503100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378370282752).

242520503100 is an abundant number, since it is smaller than the sum of its proper divisors (514220062404).

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

242520503100 is a wasteful number, since it uses less digits than its factorization.

242520503100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8277 (or 8270 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 242520503100 its reverse (1305025242), we get a palindrome (243825528342).

The spelling of 242520503100 in words is "two hundred forty-two billion, five hundred twenty million, five hundred three thousand, one hundred".