2002224242000 has 80 divisors (see below), whose sum is σ = 4853575049232. Its totient is φ = 798872025600.

The previous prime is 2002224241973. The next prime is 2002224242003. The reversal of 2002224242000 is 2424222002.

It can be written as a sum of positive squares in 8 ways, for example, as 325945079056 + 1676279162944 = 570916^2 + 1294712^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002224242003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466847 + ... + 2054846.

Almost surely, 2^{2002224242000} is an apocalyptic number.

2002224242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002224242000 is an abundant number, since it is smaller than the sum of its proper divisors (2851350807232).

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

2002224242000 is a wasteful number, since it uses less digits than its factorization.

2002224242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522113 (or 2522097 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2002224242000 its reverse (2424222002), we get a palindrome (2004648464002).

The spelling of 2002224242000 in words is "two trillion, two billion, two hundred twenty-four million, two hundred forty-two thousand".