2113434240000 has 220 divisors, whose sum is σ = 7039094131344. Its totient is φ = 563581952000.

The previous prime is 2113434239999. The next prime is 2113434240031. The reversal of 2113434240000 is 424343112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1369627 + ... + 2470373.

Almost surely, 2^{2113434240000} is an apocalyptic number.

2113434240000 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 2113434240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519547065672).

2113434240000 is an abundant number, since it is smaller than the sum of its proper divisors (4925659891344).

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

2113434240000 is an equidigital number, since it uses as much as digits as its factorization.

2113434240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100790 (or 1100757 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2113434240000 its reverse (424343112), we get a palindrome (2113858583112).

The spelling of 2113434240000 in words is "two trillion, one hundred thirteen billion, four hundred thirty-four million, two hundred forty thousand".