2141344000 has 144 divisors (see below), whose sum is σ = 5426746416. Its totient is φ = 841728000.

The previous prime is 2141343991. The next prime is 2141344019. The reversal of 2141344000 is 4431412.

It can be written as a sum of positive squares in 8 ways, for example, as 1552990464 + 588353536 = 39408^2 + 24256^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1951452 + ... + 1952548.

It is an arithmetic number, because the mean of its divisors is an integer number (37685739).

Almost surely, 2^2141344000 is an apocalyptic number.

2141344000 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 2141344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713373208).

2141344000 is an abundant number, since it is smaller than the sum of its proper divisors (3285402416).

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

2141344000 is an equidigital number, since it uses as much as digits as its factorization.

2141344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2141344000 is about 46274.6582915531. The cubic root of 2141344000 is about 1288.9284613736.

Adding to 2141344000 its reverse (4431412), we get a palindrome (2145775412).

The spelling of 2141344000 in words is "two billion, one hundred forty-one million, three hundred forty-four thousand".