2114224112 has 160 divisors (see below), whose sum is σ = 5558644224. Its totient is φ = 752256000.

The previous prime is 2114224111. The next prime is 2114224117.

2114224112 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114224111) 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, 1616963 + ... + 1618269.

Almost surely, 2^2114224112 is an apocalyptic number.

2114224112 is a gapful number since it is divisible by the number (22) 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 2114224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779322112).

2114224112 is an abundant number, since it is smaller than the sum of its proper divisors (3444420112).

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

2114224112 is a wasteful number, since it uses less digits than its factorization.

2114224112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1441 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 2114224112 is about 45980.6928177469. The cubic root of 2114224112 is about 1283.4639474564.

It can be divided in two parts, 21142 and 24112, that added together give a palindrome (45254).

The spelling of 2114224112 in words is "two billion, one hundred fourteen million, two hundred twenty-four thousand, one hundred twelve".