2223175680000 has 2400 divisors, whose sum is σ = 9728684824320. Its totient is φ = 495452160000.

The previous prime is 2223175679999. The next prime is 2223175680001. The reversal of 2223175680000 is 865713222.

It is an interprime number because it is at equal distance from previous prime (2223175679999) and next prime (2223175680001).

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is not an unprimeable number, because it can be changed into a prime (2223175680001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51701759979 + ... + 51701760021.

Almost surely, 2^{2223175680000} is an apocalyptic number.

2223175680000 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 2223175680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864342412160).

2223175680000 is an abundant number, since it is smaller than the sum of its proper divisors (7505509144320).

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

2223175680000 is an equidigital number, since it uses as much as digits as its factorization.

2223175680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 2223175680000 in words is "two trillion, two hundred twenty-three billion, one hundred seventy-five million, six hundred eighty thousand".