2162124564340 has 96 divisors (see below), whose sum is σ = 5058937568160. Its totient is φ = 770703360000.

The previous prime is 2162124564337. The next prime is 2162124564349. The reversal of 2162124564340 is 434654212612.

It can be written as a sum of positive squares in 16 ways, for example, as 1085755664016 + 1076368900324 = 1041996^2 + 1037482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2162124564293 and 2162124564302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162124564349) 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, 120638580 + ... + 120656500.

It is an arithmetic number, because the mean of its divisors is an integer number (52697266335).

Almost surely, 2^{2162124564340} is an apocalyptic number.

2162124564340 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 2162124564340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529468784080).

2162124564340 is an abundant number, since it is smaller than the sum of its proper divisors (2896813003820).

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

2162124564340 is a wasteful number, since it uses less digits than its factorization.

2162124564340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33973 (or 33971 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 2162124564340 its reverse (434654212612), we get a palindrome (2596778776952).

The spelling of 2162124564340 in words is "two trillion, one hundred sixty-two billion, one hundred twenty-four million, five hundred sixty-four thousand, three hundred forty".