2085363072 has 192 divisors, whose sum is σ = 6843432960. Its totient is φ = 603832320.

The previous prime is 2085363061. The next prime is 2085363113. The reversal of 2085363072 is 2703635802.

2085363072 is a `hidden beast` number, since 20 + 8 + 536 + 30 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2085363072² = 8697478284122554368, which contains 22 as substring.

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 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 23 ways as a sum of consecutive naturals, for example, 250497 + ... + 258687.

It is an arithmetic number, because the mean of its divisors is an integer number (35642880).

Almost surely, 2^2085363072 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 2085363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421716480).

2085363072 is an abundant number, since it is smaller than the sum of its proper divisors (4758069888).

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

2085363072 is a wasteful number, since it uses less digits than its factorization.

2085363072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2085363072 is about 45665.7757188028. The cubic root of 2085363072 is about 1277.5970281299.

Adding to 2085363072 its reverse (2703635802), we get a palindrome (4788998874).

The spelling of 2085363072 in words is "two billion, eighty-five million, three hundred sixty-three thousand, seventy-two".