2114103144340 has 192 divisors, whose sum is σ = 5006325139200. Its totient is φ = 743158886400.

The previous prime is 2114103144337. The next prime is 2114103144367. The reversal of 2114103144340 is 434413014112.

It is a junction number, because it is equal to n+sod(n) for n = 2114103144299 and 2114103144308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1228414680 + ... + 1228416400.

It is an arithmetic number, because the mean of its divisors is an integer number (26074610100).

Almost surely, 2^{2114103144340} is an apocalyptic number.

2114103144340 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 2114103144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503162569600).

2114103144340 is an abundant number, since it is smaller than the sum of its proper divisors (2892221994860).

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

2114103144340 is a wasteful number, since it uses less digits than its factorization.

2114103144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 2114103144340 its reverse (434413014112), we get a palindrome (2548516158452).

The spelling of 2114103144340 in words is "two trillion, one hundred fourteen billion, one hundred three million, one hundred forty-four thousand, three hundred forty".