2825071830 has 448 divisors, whose sum is σ = 9519068160. Its totient is φ = 589171968.

The previous prime is 2825071813. The next prime is 2825071861. The reversal of 2825071830 is 381705282.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 34036969 + ... + 34037051.

It is an arithmetic number, because the mean of its divisors is an integer number (21247920).

Almost surely, 2^2825071830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2825071830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759534080).

2825071830 is an abundant number, since it is smaller than the sum of its proper divisors (6693996330).

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

2825071830 is a wasteful number, since it uses less digits than its factorization.

2825071830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2825071830 is about 53151.4047791778. The cubic root of 2825071830 is about 1413.6541253082.

The spelling of 2825071830 in words is "two billion, eight hundred twenty-five million, seventy-one thousand, eight hundred thirty".