2042200224 has 72 divisors (see below), whose sum is σ = 5826087540. Its totient is φ = 678555648.

The previous prime is 2042200219. The next prime is 2042200229. The reversal of 2042200224 is 4220022402.

2042200224 is a `hidden beast` number, since 20 + 422 + 0 + 0 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (2042200219) and next prime (2042200229).

It can be written as a sum of positive squares in 2 ways, for example, as 1871427600 + 170772624 = 43260^2 + 13068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2042200197 and 2042200206.

It is not an unprimeable number, because it can be changed into a prime (2042200229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80112 + ... + 102480.

Almost surely, 2^2042200224 is an apocalyptic number.

2042200224 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 2042200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913043770).

2042200224 is an abundant number, since it is smaller than the sum of its proper divisors (3783887316).

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

2042200224 is a wasteful number, since it uses less digits than its factorization.

2042200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22702 (or 22691 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2042200224 is about 45190.7094876812. The cubic root of 2042200224 is about 1268.7209359775.

Adding to 2042200224 its reverse (4220022402), we get a palindrome (6262222626).

The spelling of 2042200224 in words is "two billion, forty-two million, two hundred thousand, two hundred twenty-four".