2805088104 has 768 divisors, whose sum is σ = 10916640000. Its totient is φ = 658409472.

The previous prime is 2805088087. The next prime is 2805088109. The reversal of 2805088104 is 4018805082.

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

It is not an unprimeable number, because it can be changed into a prime (2805088109) 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 191 ways as a sum of consecutive naturals, for example, 75813174 + ... + 75813210.

It is an arithmetic number, because the mean of its divisors is an integer number (14214375).

Almost surely, 2^2805088104 is an apocalyptic number.

2805088104 is a gapful number since it is divisible by the number (24) 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 2805088104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458320000).

2805088104 is an abundant number, since it is smaller than the sum of its proper divisors (8111551896).

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

2805088104 is a wasteful number, since it uses less digits than its factorization.

2805088104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 2805088104 is about 52963.0824631648. The cubic root of 2805088104 is about 1410.3129771509.

The spelling of 2805088104 in words is "two billion, eight hundred five million, eighty-eight thousand, one hundred four".