2085484896 has 144 divisors (see below), whose sum is σ = 6507276048. Its totient is φ = 628300800.

The previous prime is 2085484889. The next prime is 2085484903. The reversal of 2085484896 is 6984845802.

2085484896 is a `hidden beast` number, since 2 + 0 + 8 + 548 + 4 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (2085484889) and next prime (2085484903).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571590 + ... + 575226.

It is an arithmetic number, because the mean of its divisors is an integer number (45189417).

Almost surely, 2^2085484896 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 2085484896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253638024).

2085484896 is an abundant number, since it is smaller than the sum of its proper divisors (4421791152).

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

2085484896 is a wasteful number, since it uses less digits than its factorization.

2085484896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3834 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2085484896 is about 45667.1095647623. The cubic root of 2085484896 is about 1277.6219061238.

It can be divided in two parts, 208548 and 4896, that added together give a square (213444 = 462²).

The spelling of 2085484896 in words is "two billion, eighty-five million, four hundred eighty-four thousand, eight hundred ninety-six".