2135555312 has 80 divisors (see below), whose sum is σ = 4799157120. Its totient is φ = 910368000.

The previous prime is 2135555297. The next prime is 2135555329.

2135555312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2135555312² = 9121192981222834688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334583 + ... + 340905.

It is an arithmetic number, because the mean of its divisors is an integer number (59989464).

Almost surely, 2^2135555312 is an apocalyptic number.

2135555312 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 2135555312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399578560).

2135555312 is an abundant number, since it is smaller than the sum of its proper divisors (2663601808).

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

2135555312 is a wasteful number, since it uses less digits than its factorization.

2135555312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462 (or 6456 counting only the distinct ones).

The product of its digits is 22500, while the sum is 32.

The square root of 2135555312 is about 46212.0688998015. The cubic root of 2135555312 is about 1287.7659612311.

It can be divided in two parts, 21355 and 55312, that added together give a palindrome (76667).

The spelling of 2135555312 in words is "two billion, one hundred thirty-five million, five hundred fifty-five thousand, three hundred twelve".