2099040048 has 480 divisors, whose sum is σ = 7836998400. Its totient is φ = 532998144.

The previous prime is 2099040011. The next prime is 2099040049. The reversal of 2099040048 is 8400409902.

It is a happy number.

2099040048 is a `hidden beast` number, since 209 + 9 + 0 + 400 + 48 = 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 = 2099039994 and 2099040021.

It is not an unprimeable number, because it can be changed into a prime (2099040049) 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 95 ways as a sum of consecutive naturals, for example, 6837111 + ... + 6837417.

It is an arithmetic number, because the mean of its divisors is an integer number (16327080).

Almost surely, 2^2099040048 is an apocalyptic number.

2099040048 is a gapful number since it is divisible by the number (28) 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 2099040048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918499200).

2099040048 is an abundant number, since it is smaller than the sum of its proper divisors (5737958352).

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

2099040048 is a wasteful number, since it uses less digits than its factorization.

2099040048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2099040048 is about 45815.2818173151. The cubic root of 2099040048 is about 1280.3840091320.

The spelling of 2099040048 in words is "two billion, ninety-nine million, forty thousand, forty-eight".