242050706002200 has 192 divisors, whose sum is σ = 751895747020800. Its totient is φ = 64414594137600.

The previous prime is 242050706002081. The next prime is 242050706002211. The reversal of 242050706002200 is 2200607050242.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 886629321 + ... + 886902279.

It is an arithmetic number, because the mean of its divisors is an integer number (3916123682400).

Almost surely, 2^{242050706002200} is an apocalyptic number.

242050706002200 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 242050706002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375947873510400).

242050706002200 is an abundant number, since it is smaller than the sum of its proper divisors (509845041018600).

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

242050706002200 is a wasteful number, since it uses less digits than its factorization.

242050706002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276002 (or 275993 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 242050706002200 in words is "two hundred forty-two trillion, fifty billion, seven hundred six million, two thousand, two hundred".