2823825030 has 192 divisors, whose sum is σ = 7963619328. Its totient is φ = 636284160.

The previous prime is 2823824987. The next prime is 2823825071. The reversal of 2823825030 is 305283282.

It is a junction number, because it is equal to n+sod(n) for n = 2823824982 and 2823825000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4364167 + ... + 4364813.

It is an arithmetic number, because the mean of its divisors is an integer number (41477184).

Almost surely, 2^2823825030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2823825030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981809664).

2823825030 is an abundant number, since it is smaller than the sum of its proper divisors (5139794298).

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

2823825030 is a wasteful number, since it uses less digits than its factorization.

2823825030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2823825030 is about 53139.6747261404. The cubic root of 2823825030 is about 1413.4461302053.

The spelling of 2823825030 in words is "two billion, eight hundred twenty-three million, eight hundred twenty-five thousand, thirty".