2835005382 has 48 divisors (see below), whose sum is σ = 6705017280. Its totient is φ = 858567600.

The previous prime is 2835005321. The next prime is 2835005389.

2835005382 is a `hidden beast` number, since 28 + 3 + 500 + 53 + 82 = 666.

2835005382 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2835005389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428157 + ... + 434727.

It is an arithmetic number, because the mean of its divisors is an integer number (139687860).

Almost surely, 2^2835005382 is an apocalyptic number.

2835005382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2835005382 is an abundant number, since it is smaller than the sum of its proper divisors (3870011898).

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

2835005382 is a wasteful number, since it uses less digits than its factorization.

2835005382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8769 (or 8766 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2835005382 is about 53244.7685880970. The cubic root of 2835005382 is about 1415.3090897074.

It can be divided in two parts, 283500 and 5382, that added together give a palindrome (288882).

The spelling of 2835005382 in words is "two billion, eight hundred thirty-five million, five thousand, three hundred eighty-two".