2022048 has 144 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 534528.

The previous prime is 2022047. The next prime is 2022049. The reversal of 2022048 is 8402202.

It is an interprime number because it is at equal distance from previous prime (2022047) and next prime (2022049).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2022048² = 8177356228608, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2022048.

It is not an unprimeable number, because it can be changed into a prime (2022043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34243 + ... + 34301.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2^2022048 is an apocalyptic number.

2022048 is a gapful number since it is divisible by the number (28) 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 2022048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2022048 is an abundant number, since it is smaller than the sum of its proper divisors (5054112).

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

2022048 is a wasteful number, since it uses less digits than its factorization.

2022048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2022048 is about 1421.9873417158. The cubic root of 2022048 is about 126.4533930280.

The spelling of 2022048 in words is "two million, twenty-two thousand, forty-eight".