2022144000 has 192 divisors, whose sum is σ = 6730607520. Its totient is φ = 539033600.

The previous prime is 2022143947. The next prime is 2022144013. The reversal of 2022144000 is 4412202.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 766684 + ... + 769316.

Almost surely, 2^2022144000 is an apocalyptic number.

2022144000 is a gapful number since it is divisible by the number (20) 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 2022144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365303760).

2022144000 is an abundant number, since it is smaller than the sum of its proper divisors (4708463520).

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

2022144000 is an equidigital number, since it uses as much as digits as its factorization.

2022144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2022144000 is about 44968.2554698312. The cubic root of 2022144000 is about 1264.5539418948.

Adding to 2022144000 its reverse (4412202), we get a palindrome (2026556202).

The spelling of 2022144000 in words is "two billion, twenty-two million, one hundred forty-four thousand".