2142540321 has 32 divisors (see below), whose sum is σ = 3071416320. Its totient is φ = 1325174400.

The previous prime is 2142540307. The next prime is 2142540331. The reversal of 2142540321 is 1230452412.

2142540321 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2142540321 - 2⁵ = 2142540289 is a prime.

It is a super-2 number, since 2×2142540321² = 9180958054221566082, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2142540291 and 2142540300.

It is not an unprimeable number, because it can be changed into a prime (2142540331) 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, 504276 + ... + 508506.

It is an arithmetic number, because the mean of its divisors is an integer number (95981760).

Almost surely, 2^2142540321 is an apocalyptic number.

It is an amenable number.

2142540321 is a deficient number, since it is larger than the sum of its proper divisors (928875999).

2142540321 is a wasteful number, since it uses less digits than its factorization.

2142540321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2142540321 is about 46287.5827949570. The cubic root of 2142540321 is about 1289.1684485219.

Adding to 2142540321 its reverse (1230452412), we get a palindrome (3372992733).

The spelling of 2142540321 in words is "two billion, one hundred forty-two million, five hundred forty thousand, three hundred twenty-one".