2865005682 has 128 divisors (see below), whose sum is σ = 7769364480. Its totient is φ = 681384960.

The previous prime is 2865005681. The next prime is 2865005711.

2865005682 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2865005681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 285669 + ... + 295527.

It is an arithmetic number, because the mean of its divisors is an integer number (60698160).

Almost surely, 2^2865005682 is an apocalyptic number.

2865005682 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2865005682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884682240).

2865005682 is an abundant number, since it is smaller than the sum of its proper divisors (4904358798).

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

2865005682 is a wasteful number, since it uses less digits than its factorization.

2865005682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9936.

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 2865005682 is about 53525.7478415762. The cubic root of 2865005682 is about 1420.2838951657.

The spelling of 2865005682 in words is "two billion, eight hundred sixty-five million, five thousand, six hundred eighty-two".