2162205633672 has 320 divisors, whose sum is σ = 6963286936320. Its totient is φ = 614041731072.

The previous prime is 2162205633587. The next prime is 2162205633719. The reversal of 2162205633672 is 2763365022612.

2162205633672 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 2 + 0 + 5 + 633 + 6 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 539605093 + ... + 539609099.

It is an arithmetic number, because the mean of its divisors is an integer number (21760271676).

Almost surely, 2^{2162205633672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2162205633672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481643468160).

2162205633672 is an abundant number, since it is smaller than the sum of its proper divisors (4801081302648).

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

2162205633672 is a wasteful number, since it uses less digits than its factorization.

2162205633672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 2162205633672 in words is "two trillion, one hundred sixty-two billion, two hundred five million, six hundred thirty-three thousand, six hundred seventy-two".