2002134321 has 32 divisors (see below), whose sum is σ = 3240099840. Its totient is φ = 1211792400.

The previous prime is 2002134313. The next prime is 2002134347. The reversal of 2002134321 is 1234312002.

2002134321 is a `hidden beast` number, since 20 + 0 + 213 + 432 + 1 = 666.

It is not a de Polignac number, because 2002134321 - 2³ = 2002134313 is a prime.

It is a super-2 number, since 2×2002134321² = 8017083678652262082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002134294 and 2002134303.

It is not an unprimeable number, because it can be changed into a prime (2002134301) 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, 240336 + ... + 248526.

It is an arithmetic number, because the mean of its divisors is an integer number (101253120).

Almost surely, 2^2002134321 is an apocalyptic number.

It is an amenable number.

2002134321 is a deficient number, since it is larger than the sum of its proper divisors (1237965519).

2002134321 is a wasteful number, since it uses less digits than its factorization.

2002134321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9034 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2002134321 is about 44745.2156213377. The cubic root of 2002134321 is about 1260.3690698888.

Adding to 2002134321 its reverse (1234312002), we get a palindrome (3236446323).

It can be divided in two parts, 200 and 2134321, that added together give a square (2134521 = 1461²).

The spelling of 2002134321 in words is "two billion, two million, one hundred thirty-four thousand, three hundred twenty-one".