2099255760 has 240 divisors, whose sum is σ = 8254471680. Its totient is φ = 468080640.

The previous prime is 2099255749. The next prime is 2099255797. The reversal of 2099255760 is 675529902.

2099255760 is a `hidden beast` number, since 2 + 0 + 9 + 92 + 557 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 201561 + ... + 211719.

It is an arithmetic number, because the mean of its divisors is an integer number (34393632).

Almost surely, 2^2099255760 is an apocalyptic number.

2099255760 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 2099255760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127235840).

2099255760 is an abundant number, since it is smaller than the sum of its proper divisors (6155215920).

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

2099255760 is a wasteful number, since it uses less digits than its factorization.

2099255760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226 (or 10217 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 2099255760 is about 45817.6359058387. The cubic root of 2099255760 is about 1280.4278680275.

The spelling of 2099255760 in words is "two billion, ninety-nine million, two hundred fifty-five thousand, seven hundred sixty".