2112140140 has 48 divisors (see below), whose sum is σ = 5049112320. Its totient is φ = 734655680.

The previous prime is 2112140137. The next prime is 2112140141. The reversal of 2112140140 is 410412112.

It is a happy number.

It is a super-2 number, since 2×2112140140² = 8922271941998439200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112140141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203650 + ... + 213769.

It is an arithmetic number, because the mean of its divisors is an integer number (105189840).

Almost surely, 2^2112140140 is an apocalyptic number.

2112140140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112140140 is an abundant number, since it is smaller than the sum of its proper divisors (2936972180).

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

2112140140 is a wasteful number, since it uses less digits than its factorization.

2112140140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417462 (or 417460 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2112140140 is about 45958.0258496816. The cubic root of 2112140140 is about 1283.0421091397.

Adding to 2112140140 its reverse (410412112), we get a palindrome (2522552252).

The spelling of 2112140140 in words is "two billion, one hundred twelve million, one hundred forty thousand, one hundred forty".