2116261131424 has 96 divisors (see below), whose sum is σ = 4638533921280. Its totient is φ = 942288787200.

The previous prime is 2116261131389. The next prime is 2116261131427. The reversal of 2116261131424 is 4241311626112.

It is a happy number.

It is a super-2 number, since 2×2116261131424² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2116261131424.

It is not an unprimeable number, because it can be changed into a prime (2116261131427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5697309 + ... + 6057379.

It is an arithmetic number, because the mean of its divisors is an integer number (48318061680).

Almost surely, 2^{2116261131424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116261131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319266960640).

2116261131424 is an abundant number, since it is smaller than the sum of its proper divisors (2522272789856).

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

2116261131424 is a wasteful number, since it uses less digits than its factorization.

2116261131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360434 (or 360426 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

Adding to 2116261131424 its reverse (4241311626112), we get a palindrome (6357572757536).

The spelling of 2116261131424 in words is "two trillion, one hundred sixteen billion, two hundred sixty-one million, one hundred thirty-one thousand, four hundred twenty-four".