2032140412302 has 384 divisors, whose sum is σ = 5703481534464. Its totient is φ = 469307520000.

The previous prime is 2032140412283. The next prime is 2032140412319.

It is a happy number.

2032140412302 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 246884527 + ... + 246892757.

It is an arithmetic number, because the mean of its divisors is an integer number (14852816496).

Almost surely, 2^{2032140412302} is an apocalyptic number.

2032140412302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032140412302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851740767232).

2032140412302 is an abundant number, since it is smaller than the sum of its proper divisors (3671341122162).

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

2032140412302 is a wasteful number, since it uses less digits than its factorization.

2032140412302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8416 (or 8405 counting only the distinct ones).

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

It can be divided in two parts, 2032140 and 412302, that added together give a palindrome (2444442).

The spelling of 2032140412302 in words is "two trillion, thirty-two billion, one hundred forty million, four hundred twelve thousand, three hundred two".