2171134314 has 64 divisors (see below), whose sum is σ = 4885401600. Its totient is φ = 714663936.

The previous prime is 2171134307. The next prime is 2171134319. The reversal of 2171134314 is 4134311712.

2171134314 is a `hidden beast` number, since 217 + 1 + 13 + 431 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2171134319) 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 31 ways as a sum of consecutive naturals, for example, 2336602 + ... + 2337530.

It is an arithmetic number, because the mean of its divisors is an integer number (76334400).

Almost surely, 2^2171134314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2171134314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442700800).

2171134314 is an abundant number, since it is smaller than the sum of its proper divisors (2714267286).

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

2171134314 is a wasteful number, since it uses less digits than its factorization.

2171134314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1430 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2171134314 is about 46595.4323297896. The cubic root of 2171134314 is about 1294.8781336601.

The spelling of 2171134314 in words is "two billion, one hundred seventy-one million, one hundred thirty-four thousand, three hundred fourteen".