2152138221 has 64 divisors (see below), whose sum is σ = 3414528000. Its totient is φ = 1336737600.

The previous prime is 2152138213. The next prime is 2152138231. The reversal of 2152138221 is 1228312512.

It is not a de Polignac number, because 2152138221 - 2³ = 2152138213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152138231) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5532295 + ... + 5532683.

It is an arithmetic number, because the mean of its divisors is an integer number (53352000).

Almost surely, 2^2152138221 is an apocalyptic number.

It is an amenable number.

2152138221 is a deficient number, since it is larger than the sum of its proper divisors (1262389779).

2152138221 is a wasteful number, since it uses less digits than its factorization.

2152138221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 2152138221 is about 46391.1437776652. The cubic root of 2152138221 is about 1291.0906028621.

The spelling of 2152138221 in words is "two billion, one hundred fifty-two million, one hundred thirty-eight thousand, two hundred twenty-one".