2002202002000 has 80 divisors (see below), whose sum is σ = 4851920363472. Its totient is φ = 799127961600.

The previous prime is 2002202001997. The next prime is 2002202002019. The reversal of 2002202002000 is 2002022002.

It can be written as a sum of positive squares in 8 ways, for example, as 803518617664 + 1198683384336 = 896392^2 + 1094844^2 .

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 (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181297 + ... + 2009296.

Almost surely, 2^{2002202002000} is an apocalyptic number.

2002202002000 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 2002202002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425960181736).

2002202002000 is an abundant number, since it is smaller than the sum of its proper divisors (2849718361472).

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

2002202002000 is a wasteful number, since it uses less digits than its factorization.

2002202002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191073 (or 2191057 counting only the distinct ones).

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

Adding to 2002202002000 its reverse (2002022002), we get a palindrome (2004204024002).

The spelling of 2002202002000 in words is "two trillion, two billion, two hundred two million, two thousand".