2825810208 has 288 divisors, whose sum is σ = 9061258752. Its totient is φ = 829440000.

The previous prime is 2825810189. The next prime is 2825810233. The reversal of 2825810208 is 8020185282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11258083 + ... + 11258333.

It is an arithmetic number, because the mean of its divisors is an integer number (31462704).

Almost surely, 2^2825810208 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 2825810208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530629376).

2825810208 is an abundant number, since it is smaller than the sum of its proper divisors (6235448544).

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

2825810208 is a wasteful number, since it uses less digits than its factorization.

2825810208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 397 counting only the distinct ones).

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

The square root of 2825810208 is about 53158.3503130035. The cubic root of 2825810208 is about 1413.7772750005. Note that the first 3 decimals are identical.

The spelling of 2825810208 in words is "two billion, eight hundred twenty-five million, eight hundred ten thousand, two hundred eight".