242631920280 has 256 divisors, whose sum is σ = 755659238400. Its totient is φ = 62291773440.

The previous prime is 242631920257. The next prime is 242631920303. The reversal of 242631920280 is 82029136242.

It is an interprime number because it is at equal distance from previous prime (242631920257) and next prime (242631920303).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74175045 + ... + 74178315.

It is an arithmetic number, because the mean of its divisors is an integer number (2951793900).

Almost surely, 2^242631920280 is an apocalyptic number.

242631920280 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 242631920280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377829619200).

242631920280 is an abundant number, since it is smaller than the sum of its proper divisors (513027318120).

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

242631920280 is a wasteful number, since it uses less digits than its factorization.

242631920280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 242631920280 in words is "two hundred forty-two billion, six hundred thirty-one million, nine hundred twenty thousand, two hundred eighty".