2022364800 has 384 divisors, whose sum is σ = 7512912000. Its totient is φ = 531210240.

The previous prime is 2022364789. The next prime is 2022364801. The reversal of 2022364800 is 84632202.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022364801) 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 47 ways as a sum of consecutive naturals, for example, 7689469 + ... + 7689731.

It is an arithmetic number, because the mean of its divisors is an integer number (19564875).

Almost surely, 2^2022364800 is an apocalyptic number.

2022364800 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 2022364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756456000).

2022364800 is an abundant number, since it is smaller than the sum of its proper divisors (5490547200).

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

2022364800 is a wasteful number, since it uses less digits than its factorization.

2022364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2022364800 is about 44970.7104680369. The cubic root of 2022364800 is about 1264.5999662050.

The spelling of 2022364800 in words is "two billion, twenty-two million, three hundred sixty-four thousand, eight hundred".