2130434404340 has 96 divisors (see below), whose sum is σ = 5004628312320. Its totient is φ = 755058867200.

The previous prime is 2130434404337. The next prime is 2130434404349. The reversal of 2130434404340 is 434044340312.

It is a super-3 number, since 3×2130434404340³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2130434404297 and 2130434404306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130434404349) 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, 9020681 + ... + 9253839.

It is an arithmetic number, because the mean of its divisors is an integer number (52131544920).

Almost surely, 2^{2130434404340} is an apocalyptic number.

2130434404340 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 2130434404340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502314156160).

2130434404340 is an abundant number, since it is smaller than the sum of its proper divisors (2874193907980).

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

2130434404340 is a wasteful number, since it uses less digits than its factorization.

2130434404340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234233 (or 234231 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 2130434404340 its reverse (434044340312), we get a palindrome (2564478744652).

The spelling of 2130434404340 in words is "two trillion, one hundred thirty billion, four hundred thirty-four million, four hundred four thousand, three hundred forty".