2141184000 has 448 divisors, whose sum is σ = 7728581952. Its totient is φ = 524288000.

The previous prime is 2141183971. The next prime is 2141184007. The reversal of 2141184000 is 4811412.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141184007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52223980 + ... + 52224020.

It is an arithmetic number, because the mean of its divisors is an integer number (17251299).

Almost surely, 2^2141184000 is an apocalyptic number.

2141184000 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 2141184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864290976).

2141184000 is an abundant number, since it is smaller than the sum of its proper divisors (5587397952).

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

2141184000 is an equidigital number, since it uses as much as digits as its factorization.

2141184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 2141184000 is about 46272.9294512461. The cubic root of 2141184000 is about 1288.8963579080.

Adding to 2141184000 its reverse (4811412), we get a palindrome (2145995412).

The spelling of 2141184000 in words is "two billion, one hundred forty-one million, one hundred eighty-four thousand".