2132442312 has 256 divisors, whose sum is σ = 7354368000. Its totient is φ = 497249280.

The previous prime is 2132442307. The next prime is 2132442317.

It is a happy number.

2132442312 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2132442307) and next prime (2132442317).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2132442317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 887689 + ... + 890087.

It is an arithmetic number, because the mean of its divisors is an integer number (28728000).

Almost surely, 2^2132442312 is an apocalyptic number.

2132442312 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 2132442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184000).

2132442312 is an abundant number, since it is smaller than the sum of its proper divisors (5221925688).

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

2132442312 is a wasteful number, since it uses less digits than its factorization.

2132442312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2472 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2132442312 is about 46178.3749389257. The cubic root of 2132442312 is about 1287.1399312585.

It can be divided in two parts, 21324 and 42312, that added together give a palindrome (63636).

The spelling of 2132442312 in words is "two billion, one hundred thirty-two million, four hundred forty-two thousand, three hundred twelve".