2002213440432 has 120 divisors (see below), whose sum is σ = 5627896354080. Its totient is φ = 664491294720.

The previous prime is 2002213440389. The next prime is 2002213440439. The reversal of 2002213440432 is 2340443122002.

2002213440432 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 213 + 440 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×2002213440432² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002213440396 and 2002213440405.

It is not an unprimeable number, because it can be changed into a prime (2002213440439) 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 23 ways as a sum of consecutive naturals, for example, 85439757 + ... + 85463187.

It is an arithmetic number, because the mean of its divisors is an integer number (46899136284).

Almost surely, 2^{2002213440432} 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 2002213440432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813948177040).

2002213440432 is an abundant number, since it is smaller than the sum of its proper divisors (3625682913648).

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

2002213440432 is a wasteful number, since it uses less digits than its factorization.

2002213440432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26011 (or 26002 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2002213440432 its reverse (2340443122002), we get a palindrome (4342656562434).

The spelling of 2002213440432 in words is "two trillion, two billion, two hundred thirteen million, four hundred forty thousand, four hundred thirty-two".