2180084544 has 140 divisors (see below), whose sum is σ = 7050133728. Its totient is φ = 660614400.

The previous prime is 2180084537. The next prime is 2180084549. The reversal of 2180084544 is 4454800812.

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

It is a junction number, because it is equal to n+sod(n) for n = 2180084499 and 2180084508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180084549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37909 + ... + 76139.

Almost surely, 2^2180084544 is an apocalyptic number.

2180084544 is a gapful number since it is divisible by the number (24) 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 2180084544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525066864).

2180084544 is an abundant number, since it is smaller than the sum of its proper divisors (4870049184).

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

2180084544 is a wasteful number, since it uses less digits than its factorization.

2180084544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38266 (or 38247 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2180084544 is about 46691.3754777047. The cubic root of 2180084544 is about 1296.6550186818.

The spelling of 2180084544 in words is "two billion, one hundred eighty million, eighty-four thousand, five hundred forty-four".