2825433000 has 768 divisors, whose sum is σ = 11447654400. Its totient is φ = 622080000.

The previous prime is 2825432977. The next prime is 2825433011. The reversal of 2825433000 is 3345282.

2825433000 is a `hidden beast` number, since 282 + 54 + 330 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68912980 + ... + 68913020.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2^2825433000 is an apocalyptic number.

2825433000 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 2825433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723827200).

2825433000 is an abundant number, since it is smaller than the sum of its proper divisors (8622221400).

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

2825433000 is a wasteful number, since it uses less digits than its factorization.

2825433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2825433000 is about 53154.8022289614. The cubic root of 2825433000 is about 1413.7143653935.

Adding to 2825433000 its reverse (3345282), we get a palindrome (2828778282).

The spelling of 2825433000 in words is "two billion, eight hundred twenty-five million, four hundred thirty-three thousand".