2181168000 has 896 divisors, whose sum is σ = 9391580640. Its totient is φ = 497664000.

The previous prime is 2181167987. The next prime is 2181168007. The reversal of 2181168000 is 8611812.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2181168007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 128303992 + ... + 128304008.

Almost surely, 2^2181168000 is an apocalyptic number.

2181168000 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 2181168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695790320).

2181168000 is an abundant number, since it is smaller than the sum of its proper divisors (7210412640).

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

2181168000 is an equidigital number, since it uses as much as digits as its factorization.

2181168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 2181168000 is about 46702.9763505497. The cubic root of 2181168000 is about 1296.8697864986.

Adding to 2181168000 its reverse (8611812), we get a palindrome (2189779812).

The spelling of 2181168000 in words is "two billion, one hundred eighty-one million, one hundred sixty-eight thousand".