2808135000 has 640 divisors, whose sum is σ = 11156428800. Its totient is φ = 648000000.

The previous prime is 2808134993. The next prime is 2808135013. The reversal of 2808135000 is 5318082.

It is a happy number.

2808135000 is a `hidden beast` number, since 2 + 80 + 81 + 3 + 500 + 0 = 666.

2808135000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46034970 + ... + 46035030.

It is an arithmetic number, because the mean of its divisors is an integer number (17431920).

Almost surely, 2^2808135000 is an apocalyptic number.

2808135000 is a gapful number since it is divisible by the number (20) 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 2808135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578214400).

2808135000 is an abundant number, since it is smaller than the sum of its proper divisors (8348293800).

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

2808135000 is a wasteful number, since it uses less digits than its factorization.

2808135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2808135000 is about 52991.8389943206. The cubic root of 2808135000 is about 1410.8234212575.

The spelling of 2808135000 in words is "two billion, eight hundred eight million, one hundred thirty-five thousand".