2124023114340 has 144 divisors (see below), whose sum is σ = 6626174563008. Its totient is φ = 550425238272.

The previous prime is 2124023114327. The next prime is 2124023114341. The reversal of 2124023114340 is 434113204212.

2124023114340 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 0 + 2 + 311 + 4 + 340 = 666.

It is a super-2 number, since 2×2124023114340² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2124023114341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 828279 + ... + 2221281.

It is an arithmetic number, because the mean of its divisors is an integer number (46015101132).

Almost surely, 2^{2124023114340} is an apocalyptic number.

2124023114340 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 2124023114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313087281504).

2124023114340 is an abundant number, since it is smaller than the sum of its proper divisors (4502151448668).

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

2124023114340 is a wasteful number, since it uses less digits than its factorization.

2124023114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393258 (or 1393253 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2124023114340 its reverse (434113204212), we get a palindrome (2558136318552).

The spelling of 2124023114340 in words is "two trillion, one hundred twenty-four billion, twenty-three million, one hundred fourteen thousand, three hundred forty".