2135445312 has 448 divisors, whose sum is σ = 7799758848. Its totient is φ = 497664000.

The previous prime is 2135445307. The next prime is 2135445371.

2135445312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 2135445312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7879737 + ... + 7880007.

It is an arithmetic number, because the mean of its divisors is an integer number (17410176).

Almost surely, 2^2135445312 is an apocalyptic number.

2135445312 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 2135445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899879424).

2135445312 is an abundant number, since it is smaller than the sum of its proper divisors (5664313536).

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

2135445312 is a wasteful number, since it uses less digits than its factorization.

2135445312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 2135445312 is about 46210.8787191934. The cubic root of 2135445312 is about 1287.7438504032.

It can be divided in two parts, 21354 and 45312, that added together give a palindrome (66666).

The spelling of 2135445312 in words is "two billion, one hundred thirty-five million, four hundred forty-five thousand, three hundred twelve".