2089824800 has 72 divisors (see below), whose sum is σ = 5830626816. Its totient is φ = 716509440.

The previous prime is 2089824797. The next prime is 2089824809. The reversal of 2089824800 is 84289802.

It is not an unprimeable number, because it can be changed into a prime (2089824809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 180992 + ... + 192191.

It is an arithmetic number, because the mean of its divisors is an integer number (80980928).

Almost surely, 2^2089824800 is an apocalyptic number.

2089824800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2089824800 is an abundant number, since it is smaller than the sum of its proper divisors (3740802016).

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

2089824800 is a wasteful number, since it uses less digits than its factorization.

2089824800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373210 (or 373197 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 2089824800 is about 45714.6016060514. The cubic root of 2089824800 is about 1278.5075378300.

The spelling of 2089824800 in words is "two billion, eighty-nine million, eight hundred twenty-four thousand, eight hundred".