2142141330 has 128 divisors (see below), whose sum is σ = 6034176000. Its totient is φ = 486478272.

The previous prime is 2142141329. The next prime is 2142141359. The reversal of 2142141330 is 331412412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2142141297 and 2142141306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1841329 + ... + 1842491.

It is an arithmetic number, because the mean of its divisors is an integer number (47142000).

Almost surely, 2^2142141330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142141330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017088000).

2142141330 is an abundant number, since it is smaller than the sum of its proper divisors (3892034670).

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

2142141330 is a wasteful number, since it uses less digits than its factorization.

2142141330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2142141330 is about 46283.2726803108. The cubic root of 2142141330 is about 1289.0884191387.

Adding to 2142141330 its reverse (331412412), we get a palindrome (2473553742).

The spelling of 2142141330 in words is "two billion, one hundred forty-two million, one hundred forty-one thousand, three hundred thirty".