2002132314 has 96 divisors (see below), whose sum is σ = 5429773440. Its totient is φ = 519060096.

The previous prime is 2002132291. The next prime is 2002132361. The reversal of 2002132314 is 4132312002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86284 + ... + 107000.

It is an arithmetic number, because the mean of its divisors is an integer number (56560140).

Almost surely, 2^2002132314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002132314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714886720).

2002132314 is an abundant number, since it is smaller than the sum of its proper divisors (3427641126).

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

2002132314 is a wasteful number, since it uses less digits than its factorization.

2002132314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20804 (or 20801 counting only the distinct ones).

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

The square root of 2002132314 is about 44745.1931943533. The cubic root of 2002132314 is about 1260.3686487446.

Adding to 2002132314 its reverse (4132312002), we get a palindrome (6134444316).

The spelling of 2002132314 in words is "two billion, two million, one hundred thirty-two thousand, three hundred fourteen".