2134313414340 has 96 divisors (see below), whose sum is σ = 6123420616320. Its totient is φ = 555124761600.

The previous prime is 2134313414339. The next prime is 2134313414341. The reversal of 2134313414340 is 434143134312.

It is an interprime number because it is at equal distance from previous prime (2134313414339) and next prime (2134313414341).

It is not an unprimeable number, because it can be changed into a prime (2134313414341) 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, 9559906 + ... + 9780614.

It is an arithmetic number, because the mean of its divisors is an integer number (63785631420).

Almost surely, 2^{2134313414340} is an apocalyptic number.

2134313414340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134313414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061710308160).

2134313414340 is an abundant number, since it is smaller than the sum of its proper divisors (3989107201980).

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

2134313414340 is a wasteful number, since it uses less digits than its factorization.

2134313414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224693 (or 224691 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 2134313414340 its reverse (434143134312), we get a palindrome (2568456548652).

The spelling of 2134313414340 in words is "two trillion, one hundred thirty-four billion, three hundred thirteen million, four hundred fourteen thousand, three hundred forty".