2112680034760 has 128 divisors (see below), whose sum is σ = 5051684880000. Its totient is φ = 792925562880.

The previous prime is 2112680034743. The next prime is 2112680034769. The reversal of 2112680034760 is 674300862112.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2112680034769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325475115 + ... + 325481605.

It is an arithmetic number, because the mean of its divisors is an integer number (39466288125).

Almost surely, 2^{2112680034760} is an apocalyptic number.

2112680034760 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 2112680034760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525842440000).

2112680034760 is an abundant number, since it is smaller than the sum of its proper divisors (2939004845240).

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

2112680034760 is a wasteful number, since it uses less digits than its factorization.

2112680034760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10559 (or 10555 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

Adding to 2112680034760 its reverse (674300862112), we get a palindrome (2786980896872).

The spelling of 2112680034760 in words is "two trillion, one hundred twelve billion, six hundred eighty million, thirty-four thousand, seven hundred sixty".