2180384000 has 144 divisors (see below), whose sum is σ = 5525594256. Its totient is φ = 857088000.

The previous prime is 2180383981. The next prime is 2180384009. The reversal of 2180384000 is 4830812.

It can be written as a sum of positive squares in 8 ways, for example, as 1885643776 + 294740224 = 43424^2 + 17168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180384009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1951442 + ... + 1952558.

Almost surely, 2^2180384000 is an apocalyptic number.

2180384000 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 2180384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762797128).

2180384000 is an abundant number, since it is smaller than the sum of its proper divisors (3345210256).

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

2180384000 is an equidigital number, since it uses as much as digits as its factorization.

2180384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2180384000 is about 46694.5821268378. The cubic root of 2180384000 is about 1296.7143853929.

The spelling of 2180384000 in words is "two billion, one hundred eighty million, three hundred eighty-four thousand".