2121829578 has 24 divisors (see below), whose sum is σ = 5015234016. Its totient is φ = 642978600.

The previous prime is 2121829571. The next prime is 2121829597. The reversal of 2121829578 is 8759281212.

It is a super-3 number, since 3×2121829578³ (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2121829571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5357958 + ... + 5358353.

It is an arithmetic number, because the mean of its divisors is an integer number (208968084).

Almost surely, 2^2121829578 is an apocalyptic number.

2121829578 is an abundant number, since it is smaller than the sum of its proper divisors (2893404438).

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

2121829578 is a wasteful number, since it uses less digits than its factorization.

2121829578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10716330 (or 10716327 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 2121829578 is about 46063.3213956614. The cubic root of 2121829578 is about 1285.0011007980.

The spelling of 2121829578 in words is "two billion, one hundred twenty-one million, eight hundred twenty-nine thousand, five hundred seventy-eight".