2187441000000 has 1323 divisors, whose sum is σ = 8622398362357. Its totient is φ = 530073600000.

The previous prime is 2187440999963. The next prime is 2187441000001. The reversal of 2187441000000 is 1447812.

The square root of 2187441000000 is 1479000.

It is a perfect power (a square), and thus also a powerful number.

2187441000000 is a `hidden beast` number, since 218 + 7 + 441 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 31 ways, for example, as 863873584704 + 1323567415296 = 929448^2 + 1150464^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2187441000001) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 75428999986 + ... + 75429000014.

Almost surely, 2^{2187441000000} is an apocalyptic number.

2187441000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2187441000000 is the 1479000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2187441000000

2187441000000 is an abundant number, since it is smaller than the sum of its proper divisors (6434957362357).

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

2187441000000 is an frugal number, since it uses more digits than its factorization.

2187441000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 2187441000000 its reverse (1447812), we get a palindrome (2187442447812).

The spelling of 2187441000000 in words is "two trillion, one hundred eighty-seven billion, four hundred forty-one million", and thus it is an aban number.