2785882752 has 192 divisors, whose sum is σ = 8936179200. Its totient is φ = 827891712.

The previous prime is 2785882739. The next prime is 2785882763. The reversal of 2785882752 is 2572885872.

2785882752 is a `hidden beast` number, since 2 + 7 + 8 + 588 + 2 + 7 + 52 = 666.

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

It is a super-2 number, since 2×2785882752² = 15522285415782187008, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 368353 + ... + 375839.

It is an arithmetic number, because the mean of its divisors is an integer number (46542600).

Almost surely, 2^2785882752 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 2785882752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468089600).

2785882752 is an abundant number, since it is smaller than the sum of its proper divisors (6150296448).

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

2785882752 is a wasteful number, since it uses less digits than its factorization.

2785882752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7543 (or 7528 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 54.

The square root of 2785882752 is about 52781.4622002839. The cubic root of 2785882752 is about 1407.0869812552.

The spelling of 2785882752 in words is "two billion, seven hundred eighty-five million, eight hundred eighty-two thousand, seven hundred fifty-two".