2099064240 has 640 divisors, whose sum is σ = 9099417600. Its totient is φ = 432967680.

The previous prime is 2099064193. The next prime is 2099064241. The reversal of 2099064240 is 424609902.

2099064240 is a `hidden beast` number, since 2 + 0 + 9 + 9 + 0 + 642 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2099064195 and 2099064204.

It is not an unprimeable number, because it can be changed into a prime (2099064241) 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 127 ways as a sum of consecutive naturals, for example, 11596950 + ... + 11597130.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2^2099064240 is an apocalyptic number.

2099064240 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 2099064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549708800).

2099064240 is an abundant number, since it is smaller than the sum of its proper divisors (7000353360).

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

2099064240 is a wasteful number, since it uses less digits than its factorization.

2099064240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2099064240 is about 45815.5458332649. The cubic root of 2099064240 is about 1280.3889280362.

The spelling of 2099064240 in words is "two billion, ninety-nine million, sixty-four thousand, two hundred forty".