2042164224 has 264 divisors, whose sum is σ = 6348320160. Its totient is φ = 654925824.

The previous prime is 2042164217. The next prime is 2042164247. The reversal of 2042164224 is 4224612402.

2042164224 is a `hidden beast` number, since 20 + 4 + 216 + 422 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7215987 + ... + 7216269.

Almost surely, 2^2042164224 is an apocalyptic number.

2042164224 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 2042164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174160080).

2042164224 is an abundant number, since it is smaller than the sum of its proper divisors (4306155936).

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

2042164224 is an equidigital number, since it uses as much as digits as its factorization.

2042164224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2042164224 is about 45190.3111739674. The cubic root of 2042164224 is about 1268.7134809099.

Adding to 2042164224 its reverse (4224612402), we get a palindrome (6266776626).

The spelling of 2042164224 in words is "two billion, forty-two million, one hundred sixty-four thousand, two hundred twenty-four".