2099737728 has 576 divisors, whose sum is σ = 7638714720. Its totient is φ = 567336960.

The previous prime is 2099737727. The next prime is 2099737769. The reversal of 2099737728 is 8277379902.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099737727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110512503 + ... + 110512521.

Almost surely, 2^2099737728 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 2099737728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819357360).

2099737728 is an abundant number, since it is smaller than the sum of its proper divisors (5538976992).

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

2099737728 is a wasteful number, since it uses less digits than its factorization.

2099737728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 2099737728 is about 45822.8952380794. The cubic root of 2099737728 is about 1280.5258516475.

The spelling of 2099737728 in words is "two billion, ninety-nine million, seven hundred thirty-seven thousand, seven hundred twenty-eight".