2202661188000 has 960 divisors, whose sum is σ = 9950287995648. Its totient is φ = 464731084800.

The previous prime is 2202661187989. The next prime is 2202661188029. The reversal of 2202661188000 is 8811662022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29446647 + ... + 29521353.

Almost surely, 2^{2202661188000} is an apocalyptic number.

2202661188000 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 2202661188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975143997824).

2202661188000 is an abundant number, since it is smaller than the sum of its proper divisors (7747626807648).

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

2202661188000 is a wasteful number, since it uses less digits than its factorization.

2202661188000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74764 (or 74737 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2202661188000 in words is "two trillion, two hundred two billion, six hundred sixty-one million, one hundred eighty-eight thousand".