2825856000 has 528 divisors, whose sum is σ = 11158737408. Its totient is φ = 681984000.

The previous prime is 2825855971. The next prime is 2825856017. The reversal of 2825856000 is 6585282.

2825856000 is a `hidden beast` number, since 28 + 25 + 8 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12671889 + ... + 12672111.

Almost surely, 2^2825856000 is an apocalyptic number.

2825856000 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 2825856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579368704).

2825856000 is an abundant number, since it is smaller than the sum of its proper divisors (8332881408).

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

2825856000 is a wasteful number, since it uses less digits than its factorization.

2825856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2825856000 is about 53158.7810243990. The cubic root of 2825856000 is about 1413.7849116704.

The spelling of 2825856000 in words is "two billion, eight hundred twenty-five million, eight hundred fifty-six thousand".