2085503328 has 48 divisors (see below), whose sum is σ = 6082720560. Its totient is φ = 695167488.

The previous prime is 2085503323. The next prime is 2085503333. The reversal of 2085503328 is 8233055802.

It is an interprime number because it is at equal distance from previous prime (2085503323) and next prime (2085503333).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2085503292 and 2085503301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085503323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1206025 + ... + 1207752.

It is an arithmetic number, because the mean of its divisors is an integer number (126723345).

Almost surely, 2^2085503328 is an apocalyptic number.

It is an amenable number.

2085503328 is an abundant number, since it is smaller than the sum of its proper divisors (3997217232).

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

2085503328 is a wasteful number, since it uses less digits than its factorization.

2085503328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413796 (or 2413782 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2085503328 is about 45667.3113725781. The cubic root of 2085503328 is about 1277.6256700858.

The spelling of 2085503328 in words is "two billion, eighty-five million, five hundred three thousand, three hundred twenty-eight".