2032840800 has 216 divisors, whose sum is σ = 7434508536. Its totient is φ = 542039040.

The previous prime is 2032840783. The next prime is 2032840853. The reversal of 2032840800 is 80482302.

It is a tau number, because it is divible by the number of its divisors (216).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 189172 + ... + 199628.

It is an arithmetic number, because the mean of its divisors is an integer number (34419021).

Almost surely, 2^2032840800 is an apocalyptic number.

2032840800 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 2032840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717254268).

2032840800 is an abundant number, since it is smaller than the sum of its proper divisors (5401667736).

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

2032840800 is a wasteful number, since it uses less digits than its factorization.

2032840800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2032840800 is about 45087.0358307130. The cubic root of 2032840800 is about 1266.7797806034.

The spelling of 2032840800 in words is "two billion, thirty-two million, eight hundred forty thousand, eight hundred".