2085636384 has 384 divisors, whose sum is σ = 7154784000. Its totient is φ = 585252864.

The previous prime is 2085636379. The next prime is 2085636401. The reversal of 2085636384 is 4836365802.

2085636384 = 75³ + 76³ + ... + 302³.

It is a happy number.

2085636384 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 6 + 3 + 638 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6188664 + ... + 6189000.

It is an arithmetic number, because the mean of its divisors is an integer number (18632250).

Almost surely, 2^2085636384 is an apocalyptic number.

2085636384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085636384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577392000).

2085636384 is an abundant number, since it is smaller than the sum of its proper divisors (5069147616).

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

2085636384 is a wasteful number, since it uses less digits than its factorization.

2085636384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2085636384 is about 45668.7681462945. The cubic root of 2085636384 is about 1277.6528405285.

The spelling of 2085636384 in words is "two billion, eighty-five million, six hundred thirty-six thousand, three hundred eighty-four".