2085584025 has 24 divisors (see below), whose sum is σ = 3940761664. Its totient is φ = 953409600.

The previous prime is 2085583957. The next prime is 2085584093. The reversal of 2085584025 is 5204855802.

It is an interprime number because it is at equal distance from previous prime (2085583957) and next prime (2085584093).

It is not a de Polignac number, because 2085584025 - 2⁸ = 2085583769 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1985746 + ... + 1986795.

Almost surely, 2^2085584025 is an apocalyptic number.

2085584025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2085584025 is a deficient number, since it is larger than the sum of its proper divisors (1855177639).

2085584025 is a wasteful number, since it uses less digits than its factorization.

2085584025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972561 (or 3972556 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The square root of 2085584025 is about 45668.1948953536. The cubic root of 2085584025 is about 1277.6421487983.

The spelling of 2085584025 in words is "two billion, eighty-five million, five hundred eighty-four thousand, twenty-five".