2099091456 has 768 divisors, whose sum is σ = 8491392000. Its totient is φ = 495452160.

The previous prime is 2099091431. The next prime is 2099091479. The reversal of 2099091456 is 6541909902.

2099091456 is a `hidden beast` number, since 20 + 9 + 90 + 91 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 72382450 + ... + 72382478.

It is an arithmetic number, because the mean of its divisors is an integer number (11056500).

Almost surely, 2^2099091456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2099091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

2099091456 is an abundant number, since it is smaller than the sum of its proper divisors (6392300544).

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

2099091456 is a wasteful number, since it uses less digits than its factorization.

2099091456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 2099091456 is about 45815.8428493900. The cubic root of 2099091456 is about 1280.3944617583.

The spelling of 2099091456 in words is "two billion, ninety-nine million, ninety-one thousand, four hundred fifty-six".