242202002000 has 120 divisors (see below), whose sum is σ = 681260135400. Its totient is φ = 83040652800.

The previous prime is 242202001973. The next prime is 242202002041. The reversal of 242202002000 is 200202242.

It can be written as a sum of positive squares in 4 ways, for example, as 33338377744 + 208863624256 = 182588^2 + 457016^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 1137725 + ... + 1333724.

It is an arithmetic number, because the mean of its divisors is an integer number (5677167795).

Almost surely, 2^242202002000 is an apocalyptic number.

242202002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242202002000 is an abundant number, since it is smaller than the sum of its proper divisors (439058133400).

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

242202002000 is a wasteful number, since it uses less digits than its factorization.

242202002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471486 (or 2471463 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 242202002000 its reverse (200202242), we get a palindrome (242402204242).

The spelling of 242202002000 in words is "two hundred forty-two billion, two hundred two million, two thousand".