2202002002000 has 40 divisors (see below), whose sum is σ = 5324440845672. Its totient is φ = 880800800000.

The previous prime is 2202002001973. The next prime is 2202002002001. The reversal of 2202002002000 is 2002002022.

It can be written as a sum of positive squares in 4 ways, for example, as 57230035984 + 2144771966016 = 239228^2 + 1464504^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202002002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550498501 + ... + 550502500.

Almost surely, 2^{2202002002000} is an apocalyptic number.

2202002002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202002002000 is an abundant number, since it is smaller than the sum of its proper divisors (3122438843672).

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

2202002002000 is a wasteful number, since it uses less digits than its factorization.

2202002002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101001024 (or 1101001008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 2202002002000 its reverse (2002002022), we get a palindrome (2204004004022).

The spelling of 2202002002000 in words is "two trillion, two hundred two billion, two million, two thousand".