242405542100 has 72 divisors (see below), whose sum is σ = 532556101728. Its totient is φ = 95758288000.

The previous prime is 242405542097. The next prime is 242405542139. The reversal of 242405542100 is 1245504242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39729050 + ... + 39735150.

It is an arithmetic number, because the mean of its divisors is an integer number (7396612524).

Almost surely, 2^242405542100 is an apocalyptic number.

242405542100 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 242405542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266278050864).

242405542100 is an abundant number, since it is smaller than the sum of its proper divisors (290150559628).

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

242405542100 is a wasteful number, since it uses less digits than its factorization.

242405542100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10985 (or 10978 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The spelling of 242405542100 in words is "two hundred forty-two billion, four hundred five million, five hundred forty-two thousand, one hundred".