2131441312 has 96 divisors (see below), whose sum is σ = 5634244224. Its totient is φ = 766540800.

The previous prime is 2131441259. The next prime is 2131441313.

2131441312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2131441313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239 + ... + 65302.

It is an arithmetic number, because the mean of its divisors is an integer number (58690044).

Almost surely, 2^2131441312 is an apocalyptic number.

2131441312 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 2131441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817122112).

2131441312 is an abundant number, since it is smaller than the sum of its proper divisors (3502802912).

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

2131441312 is a wasteful number, since it uses less digits than its factorization.

2131441312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66582 (or 66574 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 2131441312 is about 46167.5352601804. The cubic root of 2131441312 is about 1286.9384988885.

It can be divided in two parts, 21314 and 41312, that added together give a palindrome (62626).

The spelling of 2131441312 in words is "two billion, one hundred thirty-one million, four hundred forty-one thousand, three hundred twelve".