2200015872000 has 1344 divisors, whose sum is σ = 8439611491584. Its totient is φ = 550187827200.

The previous prime is 2200015871981. The next prime is 2200015872013. The reversal of 2200015872000 is 2785100022.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20560895947 + ... + 20560896053.

It is an arithmetic number, because the mean of its divisors is an integer number (6279472836).

Almost surely, 2^{2200015872000} is an apocalyptic number.

2200015872000 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 2200015872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219805745792).

2200015872000 is an abundant number, since it is smaller than the sum of its proper divisors (6239595619584).

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

2200015872000 is a wasteful number, since it uses less digits than its factorization.

2200015872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 2200015872000 in words is "two trillion, two hundred billion, fifteen million, eight hundred seventy-two thousand".