2091889800 has 1152 divisors, whose sum is σ = 10009359360. Its totient is φ = 391910400.

The previous prime is 2091889783. The next prime is 2091889801. The reversal of 2091889800 is 89881902.

2091889800 = T₄₀₃ + T₄₀₄ + ... + T₂₃₂₇.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2091889801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48648579 + ... + 48648621.

It is an arithmetic number, because the mean of its divisors is an integer number (8688680).

Almost surely, 2^2091889800 is an apocalyptic number.

2091889800 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 2091889800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004679680).

2091889800 is an abundant number, since it is smaller than the sum of its proper divisors (7917469560).

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

2091889800 is a wasteful number, since it uses less digits than its factorization.

2091889800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 2091889800 is about 45737.1818108637. The cubic root of 2091889800 is about 1278.9285059668.

The spelling of 2091889800 in words is "two billion, ninety-one million, eight hundred eighty-nine thousand, eight hundred".