2005088848 has 160 divisors (see below), whose sum is σ = 4953968640. Its totient is φ = 766402560.

The previous prime is 2005088831. The next prime is 2005088861. The reversal of 2005088848 is 8488805002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3474736 + ... + 3475312.

It is an arithmetic number, because the mean of its divisors is an integer number (30962304).

Almost surely, 2^2005088848 is an apocalyptic number.

2005088848 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 2005088848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476984320).

2005088848 is an abundant number, since it is smaller than the sum of its proper divisors (2948879792).

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

2005088848 is a wasteful number, since it uses less digits than its factorization.

2005088848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The square root of 2005088848 is about 44778.2184549587. The cubic root of 2005088848 is about 1260.9887359767.

The spelling of 2005088848 in words is "two billion, five million, eighty-eight thousand, eight hundred forty-eight".