2135335312 has 40 divisors (see below), whose sum is σ = 4531397472. Its totient is φ = 966720000.

The previous prime is 2135335297. The next prime is 2135335331.

2135335312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20008 + ... + 68344.

Almost surely, 2^2135335312 is an apocalyptic number.

2135335312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135335312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265698736).

2135335312 is an abundant number, since it is smaller than the sum of its proper divisors (2396062160).

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

2135335312 is a wasteful number, since it uses less digits than its factorization.

2135335312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48607 (or 48601 counting only the distinct ones).

The product of its digits is 8100, while the sum is 28.

The square root of 2135335312 is about 46209.6885079309. The cubic root of 2135335312 is about 1287.7217388159.

It can be divided in two parts, 21353 and 35312, that added together give a palindrome (56665).

The spelling of 2135335312 in words is "two billion, one hundred thirty-five million, three hundred thirty-five thousand, three hundred twelve".