2081443200 has 192 divisors, whose sum is σ = 6904416720. Its totient is φ = 551116800.

The previous prime is 2081443153. The next prime is 2081443237. The reversal of 2081443200 is 23441802.

2081443200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 1506510 + ... + 1507890.

Almost surely, 2^2081443200 is an apocalyptic number.

2081443200 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 2081443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452208360).

2081443200 is an abundant number, since it is smaller than the sum of its proper divisors (4822973520).

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

2081443200 is a wasteful number, since it uses less digits than its factorization.

2081443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2081443200 is about 45622.8363870551. The cubic root of 2081443200 is about 1276.7960232538.

The spelling of 2081443200 in words is "two billion, eighty-one million, four hundred forty-three thousand, two hundred".