2119884800 has 168 divisors, whose sum is σ = 5740996392. Its totient is φ = 770048000.

The previous prime is 2119884779. The next prime is 2119884817. The reversal of 2119884800 is 84889112.

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 11 ways as a sum of consecutive naturals, for example, 2252330 + ... + 2253270.

Almost surely, 2^2119884800 is an apocalyptic number.

2119884800 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 2119884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870498196).

2119884800 is an abundant number, since it is smaller than the sum of its proper divisors (3621111592).

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

2119884800 is an equidigital number, since it uses as much as digits as its factorization.

2119884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 41.

The square root of 2119884800 is about 46042.2067238311. The cubic root of 2119884800 is about 1284.6083884912.

The spelling of 2119884800 in words is "two billion, one hundred nineteen million, eight hundred eighty-four thousand, eight hundred".