2111214144 has 112 divisors (see below), whose sum is σ = 6044175872. Its totient is φ = 646520832.

The previous prime is 2111214121. The next prime is 2111214187. The reversal of 2111214144 is 4414121112.

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 2111214144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 554712 + ... + 558504.

It is an arithmetic number, because the mean of its divisors is an integer number (53965856).

Almost surely, 2^2111214144 is an apocalyptic number.

2111214144 is a gapful number since it is divisible by the number (24) 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 2111214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022087936).

2111214144 is an abundant number, since it is smaller than the sum of its proper divisors (3932961728).

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

2111214144 is a wasteful number, since it uses less digits than its factorization.

2111214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4034 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 2111214144 is about 45947.9503786622. The cubic root of 2111214144 is about 1282.8545796750.

Adding to 2111214144 its reverse (4414121112), we get a palindrome (6525335256).

The spelling of 2111214144 in words is "two billion, one hundred eleven million, two hundred fourteen thousand, one hundred forty-four".