2184504312672 has 384 divisors, whose sum is σ = 7126520486400. Its totient is φ = 645254553600.

The previous prime is 2184504312623. The next prime is 2184504312673. The reversal of 2184504312672 is 2762134054812.

2184504312672 is a `hidden beast` number, since 2 + 1 + 8 + 450 + 4 + 3 + 126 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2184504312673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680741404 + ... + 680744612.

It is an arithmetic number, because the mean of its divisors is an integer number (18558647100).

Almost surely, 2^{2184504312672} is an apocalyptic number.

2184504312672 is a gapful number since it is divisible by the number (22) 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 2184504312672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563260243200).

2184504312672 is an abundant number, since it is smaller than the sum of its proper divisors (4942016173728).

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

2184504312672 is a wasteful number, since it uses less digits than its factorization.

2184504312672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2184504312672 in words is "two trillion, one hundred eighty-four billion, five hundred four million, three hundred twelve thousand, six hundred seventy-two".