2112310240040 has 768 divisors, whose sum is σ = 6807670272000. Its totient is φ = 571182243840.

The previous prime is 2112310240013. The next prime is 2112310240081. The reversal of 2112310240040 is 400420132112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2112310239994 and 2112310240021.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1354912781 + ... + 1354914339.

It is an arithmetic number, because the mean of its divisors is an integer number (8864154000).

Almost surely, 2^{2112310240040} is an apocalyptic number.

2112310240040 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 2112310240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403835136000).

2112310240040 is an abundant number, since it is smaller than the sum of its proper divisors (4695360031960).

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

2112310240040 is a wasteful number, since it uses less digits than its factorization.

2112310240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2112310240040 its reverse (400420132112), we get a palindrome (2512730372152).

The spelling of 2112310240040 in words is "two trillion, one hundred twelve billion, three hundred ten million, two hundred forty thousand, forty".