2835335382 has 128 divisors (see below), whose sum is σ = 6819863040. Its totient is φ = 776355840.

The previous prime is 2835335381. The next prime is 2835335387.

2835335382 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 (2835335381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2458518 + ... + 2459670.

It is an arithmetic number, because the mean of its divisors is an integer number (53280180).

Almost surely, 2^2835335382 is an apocalyptic number.

2835335382 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 2835335382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409931520).

2835335382 is an abundant number, since it is smaller than the sum of its proper divisors (3984527658).

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

2835335382 is a wasteful number, since it uses less digits than its factorization.

2835335382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278.

The product of its digits is 518400, while the sum is 42.

The square root of 2835335382 is about 53247.8673939154. The cubic root of 2835335382 is about 1415.3640024637.

The spelling of 2835335382 in words is "two billion, eight hundred thirty-five million, three hundred thirty-five thousand, three hundred eighty-two".