2105832432 has 160 divisors (see below), whose sum is σ = 6313524480. Its totient is φ = 597749760.

The previous prime is 2105832427. The next prime is 2105832451. The reversal of 2105832432 is 2342385012.

It is a self number, because there is not a number n which added to its sum of digits gives 2105832432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2539794 + ... + 2540622.

It is an arithmetic number, because the mean of its divisors is an integer number (39459528).

Almost surely, 2^2105832432 is an apocalyptic number.

2105832432 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 2105832432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156762240).

2105832432 is an abundant number, since it is smaller than the sum of its proper divisors (4207692048).

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

2105832432 is a wasteful number, since it uses less digits than its factorization.

2105832432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2105832432 is about 45889.3498755430. The cubic root of 2105832432 is about 1281.7636073650.

The spelling of 2105832432 in words is "two billion, one hundred five million, eight hundred thirty-two thousand, four hundred thirty-two".