2189584000 has 64 divisors (see below), whose sum is σ = 5443893000. Its totient is φ = 875827200.

The previous prime is 2189583989. The next prime is 2189584009. The reversal of 2189584000 is 4859812.

It can be written as a sum of positive squares in 4 ways, for example, as 90478144 + 2099105856 = 9512^2 + 45816^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2189584009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52425 + ... + 84424.

Almost surely, 2^2189584000 is an apocalyptic number.

2189584000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2189584000 is an abundant number, since it is smaller than the sum of its proper divisors (3254309000).

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

2189584000 is an equidigital number, since it uses as much as digits as its factorization.

2189584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136878 (or 136856 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 2189584000 is about 46792.9909281294. The cubic root of 2189584000 is about 1298.5356292014.

The spelling of 2189584000 in words is "two billion, one hundred eighty-nine million, five hundred eighty-four thousand".