2184945012180 has 288 divisors, whose sum is σ = 7859426754816. Its totient is φ = 499135343616.

The previous prime is 2184945012091. The next prime is 2184945012199. The reversal of 2184945012180 is 812105494812.

2184945012180 is a `hidden beast` number, since 2 + 1 + 8 + 4 + 9 + 450 + 12 + 180 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 63838432 + ... + 63872648.

It is an arithmetic number, because the mean of its divisors is an integer number (27289676232).

Almost surely, 2^{2184945012180} is an apocalyptic number.

2184945012180 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 2184945012180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929713377408).

2184945012180 is an abundant number, since it is smaller than the sum of its proper divisors (5674481742636).

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

2184945012180 is a wasteful number, since it uses less digits than its factorization.

2184945012180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36125 (or 36111 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 2184945012180 in words is "two trillion, one hundred eighty-four billion, nine hundred forty-five million, twelve thousand, one hundred eighty".