2180175790272 has 112 divisors (see below), whose sum is σ = 5801807417952. Its totient is φ = 722516336640.

The previous prime is 2180175790267. The next prime is 2180175790277. The reversal of 2180175790272 is 2720975710812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2180175790267) and next prime (2180175790277).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2180175790277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193667268 + ... + 193678524.

It is an arithmetic number, because the mean of its divisors is an integer number (51801851946).

Almost surely, 2^{2180175790272} 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 2180175790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900903708976).

2180175790272 is an abundant number, since it is smaller than the sum of its proper divisors (3621631627680).

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

2180175790272 is a wasteful number, since it uses less digits than its factorization.

2180175790272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17026 (or 17016 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 51.

The spelling of 2180175790272 in words is "two trillion, one hundred eighty billion, one hundred seventy-five million, seven hundred ninety thousand, two hundred seventy-two".