2032400102432 has 96 divisors (see below), whose sum is σ = 4679712600192. Its totient is φ = 850828253184.

The previous prime is 2032400102431. The next prime is 2032400102449. The reversal of 2032400102432 is 2342010042302.

It is a junction number, because it is equal to n+sod(n) for n = 2032400102398 and 2032400102407.

It is not an unprimeable number, because it can be changed into a prime (2032400102431) 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 15 ways as a sum of consecutive naturals, for example, 2317868 + ... + 3072020.

It is an arithmetic number, because the mean of its divisors is an integer number (48747006252).

Almost surely, 2^{2032400102432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032400102432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339856300096).

2032400102432 is an abundant number, since it is smaller than the sum of its proper divisors (2647312497760).

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

2032400102432 is a wasteful number, since it uses less digits than its factorization.

2032400102432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754450 (or 754442 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2032400102432 its reverse (2342010042302), we get a palindrome (4374410144734).

The spelling of 2032400102432 in words is "two trillion, thirty-two billion, four hundred million, one hundred two thousand, four hundred thirty-two".