2225163720000 has 1120 divisors, whose sum is σ = 8569439401600. Its totient is φ = 504631296000.

The previous prime is 2225163719983. The next prime is 2225163720011. The reversal of 2225163720000 is 273615222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2225163720000.

It is a congruent number.

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, 1096678986 + ... + 1096681014.

It is an arithmetic number, because the mean of its divisors is an integer number (7651285180).

Almost surely, 2^{2225163720000} is an apocalyptic number.

2225163720000 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 2225163720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4284719700800).

2225163720000 is an abundant number, since it is smaller than the sum of its proper divisors (6344275681600).

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

2225163720000 is a wasteful number, since it uses less digits than its factorization.

2225163720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 2225163720000 in words is "two trillion, two hundred twenty-five billion, one hundred sixty-three million, seven hundred twenty thousand".