2085642648 has 128 divisors (see below), whose sum is σ = 6023160000. Its totient is φ = 667892736.

The previous prime is 2085642617. The next prime is 2085642659. The reversal of 2085642648 is 8462465802.

2085642648 is a `hidden beast` number, since 20 + 8 + 564 + 2 + 64 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1458798 + ... + 1460226.

Almost surely, 2^2085642648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085642648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011580000).

2085642648 is an abundant number, since it is smaller than the sum of its proper divisors (3937517352).

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

2085642648 is a wasteful number, since it uses less digits than its factorization.

2085642648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2085642648 is about 45668.8367270286. The cubic root of 2085642648 is about 1277.6541196280.

It can be divided in two parts, 20856 and 42648, that added together give a square (63504 = 252²).

The spelling of 2085642648 in words is "two billion, eighty-five million, six hundred forty-two thousand, six hundred forty-eight".