2825584505000 has 40 divisors (see below), whose sum is σ = 6620344506930. Its totient is φ = 1130233800000.

The previous prime is 2825584504997. The next prime is 2825584505057. The reversal of 2825584505000 is 5054855282.

2825584505000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 198001860676 + 2627582644324 = 444974^2 + 1620982^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 282553451 + ... + 282563450.

Almost surely, 2^{2825584505000} is an apocalyptic number.

2825584505000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2825584505000 is an abundant number, since it is smaller than the sum of its proper divisors (3794760001930).

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

2825584505000 is an equidigital number, since it uses as much as digits as its factorization.

2825584505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565116927 (or 565116908 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 44.

The spelling of 2825584505000 in words is "two trillion, eight hundred twenty-five billion, five hundred eighty-four million, five hundred five thousand".