2132442420 has 96 divisors (see below), whose sum is σ = 6086707200. Its totient is φ = 557706240.

The previous prime is 2132442419. The next prime is 2132442421. The reversal of 2132442420 is 242442312.

It is an interprime number because it is at equal distance from previous prime (2132442419) and next prime (2132442421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132442421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835306 + ... + 837854.

It is an arithmetic number, because the mean of its divisors is an integer number (63403200).

Almost surely, 2^2132442420 is an apocalyptic number.

2132442420 is a gapful number since it is divisible by the number (20) 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 2132442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043353600).

2132442420 is an abundant number, since it is smaller than the sum of its proper divisors (3954264780).

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

2132442420 is a wasteful number, since it uses less digits than its factorization.

2132442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2132442420 is about 46178.3761083042. The cubic root of 2132442420 is about 1287.1399529880.

Adding to 2132442420 its reverse (242442312), we get a palindrome (2374884732).

The spelling of 2132442420 in words is "two billion, one hundred thirty-two million, four hundred forty-two thousand, four hundred twenty".