2142224224 has 96 divisors (see below), whose sum is σ = 5066240256. Its totient is φ = 872363520.

The previous prime is 2142224219. The next prime is 2142224237. The reversal of 2142224224 is 4224222412.

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

It is a congruent number.

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, 353379 + ... + 359389.

It is an arithmetic number, because the mean of its divisors is an integer number (52773336).

Almost surely, 2^2142224224 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 2142224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533120128).

2142224224 is an abundant number, since it is smaller than the sum of its proper divisors (2924016032).

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

2142224224 is a wasteful number, since it uses less digits than its factorization.

2142224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108 (or 6100 counting only the distinct ones).

The product of its digits is 4096, while the sum is 25.

The square root of 2142224224 is about 46284.1681787628. The cubic root of 2142224224 is about 1289.1050467869.

Adding to 2142224224 its reverse (4224222412), we get a palindrome (6366446636).

The spelling of 2142224224 in words is "two billion, one hundred forty-two million, two hundred twenty-four thousand, two hundred twenty-four".