2099884416 has 256 divisors, whose sum is σ = 6609600000. Its totient is φ = 590370816.

The previous prime is 2099884411. The next prime is 2099884439. The reversal of 2099884416 is 6144889902.

It is a super-2 number, since 2×2099884416² = 8819029121119322112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099884411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14093110 + ... + 14093258.

It is an arithmetic number, because the mean of its divisors is an integer number (25818750).

Almost surely, 2^2099884416 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 2099884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304800000).

2099884416 is an abundant number, since it is smaller than the sum of its proper divisors (4509715584).

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

2099884416 is a wasteful number, since it uses less digits than its factorization.

2099884416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 2099884416 is about 45824.4958073736. The cubic root of 2099884416 is about 1280.5556701974. Note that the first 3 decimals are identical.

The spelling of 2099884416 in words is "two billion, ninety-nine million, eight hundred eighty-four thousand, four hundred sixteen".