2091689600 has 384 divisors, whose sum is σ = 6948305280. Its totient is φ = 600883200.

The previous prime is 2091689591. The next prime is 2091689603. The reversal of 2091689600 is 69861902.

It is not an unprimeable number, because it can be changed into a prime (2091689603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3202874 + ... + 3203526.

It is an arithmetic number, because the mean of its divisors is an integer number (18094545).

Almost surely, 2^2091689600 is an apocalyptic number.

2091689600 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 2091689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474152640).

2091689600 is an abundant number, since it is smaller than the sum of its proper divisors (4856615680).

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

2091689600 is a wasteful number, since it uses less digits than its factorization.

2091689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 2091689600 is about 45734.9931671581. The cubic root of 2091689600 is about 1278.8877055934.

The spelling of 2091689600 in words is "two billion, ninety-one million, six hundred eighty-nine thousand, six hundred".