2809829088 has 540 divisors, whose sum is σ = 9960150816. Its totient is φ = 775526400.

The previous prime is 2809829081. The next prime is 2809829107. The reversal of 2809829088 is 8809289082.

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 (2809829081) 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 89 ways as a sum of consecutive naturals, for example, 90639633 + ... + 90639663.

Almost surely, 2^2809829088 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 2809829088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980075408).

2809829088 is an abundant number, since it is smaller than the sum of its proper divisors (7150321728).

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

2809829088 is a wasteful number, since it uses less digits than its factorization.

2809829088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 2809829088 is about 53007.8210078475. The cubic root of 2809829088 is about 1411.1070707930.

The spelling of 2809829088 in words is "two billion, eight hundred nine million, eight hundred twenty-nine thousand, eighty-eight".