2200022002000 has 160 divisors (see below), whose sum is σ = 5353854393888. Its totient is φ = 874368000000.

The previous prime is 2200022001943. The next prime is 2200022002001. The reversal of 2200022002000 is 2002200022.

It can be written as a sum of positive squares in 16 ways, for example, as 839598359616 + 1360423642384 = 916296^2 + 1166372^2 .

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 (2200022002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222197050 + ... + 222206950.

Almost surely, 2^{2200022002000} is an apocalyptic number.

2200022002000 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 2200022002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676927196944).

2200022002000 is an abundant number, since it is smaller than the sum of its proper divisors (3153832391888).

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

2200022002000 is a wasteful number, since it uses less digits than its factorization.

2200022002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10626 (or 10610 counting only the distinct ones).

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

Adding to 2200022002000 its reverse (2002200022), we get a palindrome (2202024202022).

The spelling of 2200022002000 in words is "two trillion, two hundred billion, twenty-two million, two thousand".