2022863400 has 144 divisors (see below), whose sum is σ = 6807806460. Its totient is φ = 538291200.

The previous prime is 2022863393. The next prime is 2022863413. The reversal of 2022863400 is 43682202.

2022863400 is a `hidden beast` number, since 2 + 0 + 2 + 28 + 634 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 696009924 + 1326853476 = 26382^2 + 36426^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1174540 + ... + 1176260.

Almost surely, 2^2022863400 is an apocalyptic number.

2022863400 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 2022863400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403903230).

2022863400 is an abundant number, since it is smaller than the sum of its proper divisors (4784943060).

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

2022863400 is a wasteful number, since it uses less digits than its factorization.

2022863400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2384 counting only the distinct ones).

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

The square root of 2022863400 is about 44976.2537346098. The cubic root of 2022863400 is about 1264.7038837793.

The spelling of 2022863400 in words is "two billion, twenty-two million, eight hundred sixty-three thousand, four hundred".