2085718752 has 288 divisors, whose sum is σ = 6805850688. Its totient is φ = 600956928.

The previous prime is 2085718721. The next prime is 2085718759. The reversal of 2085718752 is 2578175802.

2085718752 is a `hidden beast` number, since 2 + 0 + 8 + 571 + 8 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2085718698 and 2085718707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085718759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4563708 + ... + 4564164.

It is an arithmetic number, because the mean of its divisors is an integer number (23631426).

Almost surely, 2^2085718752 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 2085718752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402925344).

2085718752 is an abundant number, since it is smaller than the sum of its proper divisors (4720131936).

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

2085718752 is a wasteful number, since it uses less digits than its factorization.

2085718752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 2085718752 is about 45669.6699353083. The cubic root of 2085718752 is about 1277.6696597473.

The spelling of 2085718752 in words is "two billion, eighty-five million, seven hundred eighteen thousand, seven hundred fifty-two".