242014008600 has 2304 divisors, whose sum is σ = 1152009600000. Its totient is φ = 46271554560.

The previous prime is 242014008571. The next prime is 242014008611. The reversal of 242014008600 is 6800410242.

242014008600 is a `hidden beast` number, since 2 + 42 + 0 + 14 + 0 + 0 + 8 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10522348189 + ... + 10522348211.

Almost surely, 2^242014008600 is an apocalyptic number.

242014008600 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 242014008600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576004800000).

242014008600 is an abundant number, since it is smaller than the sum of its proper divisors (909995591400).

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

242014008600 is a wasteful number, since it uses less digits than its factorization.

242014008600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 242014008600 its reverse (6800410242), we get a palindrome (248814418842).

The spelling of 242014008600 in words is "two hundred forty-two billion, fourteen million, eight thousand, six hundred".