2141328384 has 264 divisors, whose sum is σ = 6790914312. Its totient is φ = 645857280.

The previous prime is 2141328383. The next prime is 2141328403. The reversal of 2141328384 is 4838231412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61968384 + 2079360000 = 7872^2 + 45600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141328383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7308142 + ... + 7308434.

Almost surely, 2^2141328384 is an apocalyptic number.

2141328384 is a gapful number since it is divisible by the number (24) 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 2141328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395457156).

2141328384 is an abundant number, since it is smaller than the sum of its proper divisors (4649585928).

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

2141328384 is a wasteful number, since it uses less digits than its factorization.

2141328384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 372 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2141328384 is about 46274.4895595835. The cubic root of 2141328384 is about 1288.9253281458.

Adding to 2141328384 its reverse (4838231412), we get a palindrome (6979559796).

The spelling of 2141328384 in words is "two billion, one hundred forty-one million, three hundred twenty-eight thousand, three hundred eighty-four".