2142114112 has 112 divisors (see below), whose sum is σ = 4697821440. Its totient is φ = 965302272.

The previous prime is 2142114103. The next prime is 2142114113. The reversal of 2142114112 is 2114112412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2142114112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142114113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2114118 + ... + 2115130.

Almost surely, 2^2142114112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348910720).

2142114112 is an abundant number, since it is smaller than the sum of its proper divisors (2555707328).

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

2142114112 is a wasteful number, since it uses less digits than its factorization.

2142114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1118 counting only the distinct ones).

The product of its digits is 128, while the sum is 19.

The square root of 2142114112 is about 46282.9786422611. The cubic root of 2142114112 is about 1289.0829594060.

Adding to 2142114112 its reverse (2114112412), we get a palindrome (4256226524).

The spelling of 2142114112 in words is "two billion, one hundred forty-two million, one hundred fourteen thousand, one hundred twelve".