2022854400 has 648 divisors, whose sum is σ = 8599762080. Its totient is φ = 443842560.

The previous prime is 2022854387. The next prime is 2022854401. The reversal of 2022854400 is 44582202.

It is a happy number.

2022854400 is a `hidden beast` number, since 202 + 2 + 8 + 54 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022854401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11692714 + ... + 11692886.

Almost surely, 2^2022854400 is an apocalyptic number.

2022854400 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 2022854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299881040).

2022854400 is an abundant number, since it is smaller than the sum of its proper divisors (6576907680).

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

2022854400 is a wasteful number, since it uses less digits than its factorization.

2022854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2022854400 is about 44976.1536817012. The cubic root of 2022854400 is about 1264.7020081621.

The spelling of 2022854400 in words is "two billion, twenty-two million, eight hundred fifty-four thousand, four hundred".