2113334014240 has 192 divisors, whose sum is σ = 5239297728000. Its totient is φ = 804750667776.

The previous prime is 2113334014229. The next prime is 2113334014249. The reversal of 2113334014240 is 424104333112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2113334014199 and 2113334014208.

It is not an unprimeable number, because it can be changed into a prime (2113334014249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59081481 + ... + 59117239.

It is an arithmetic number, because the mean of its divisors is an integer number (27288009000).

Almost surely, 2^{2113334014240} is an apocalyptic number.

2113334014240 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 2113334014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619648864000).

2113334014240 is an abundant number, since it is smaller than the sum of its proper divisors (3125963713760).

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

2113334014240 is a wasteful number, since it uses less digits than its factorization.

2113334014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36027 (or 36019 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2113334014240 its reverse (424104333112), we get a palindrome (2537438347352).

The spelling of 2113334014240 in words is "two trillion, one hundred thirteen billion, three hundred thirty-four million, fourteen thousand, two hundred forty".