2022436800 has 378 divisors, whose sum is σ = 7489213368. Its totient is φ = 517601280.

The previous prime is 2022436789. The next prime is 2022436877. The reversal of 2022436800 is 86342202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12110317 + ... + 12110483.

Almost surely, 2^2022436800 is an apocalyptic number.

2022436800 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 2022436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744606684).

2022436800 is an abundant number, since it is smaller than the sum of its proper divisors (5466776568).

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

2022436800 is a wasteful number, since it uses less digits than its factorization.

2022436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 206 counting only the distinct ones).

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

The square root of 2022436800 is about 44971.5109819539. The cubic root of 2022436800 is about 1264.6149734080.

The spelling of 2022436800 in words is "two billion, twenty-two million, four hundred thirty-six thousand, eight hundred".