2002032354400 has 144 divisors (see below), whose sum is σ = 5264283001824. Its totient is φ = 739090759680.

The previous prime is 2002032354373. The next prime is 2002032354401. The reversal of 2002032354400 is 44532302002.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002032354401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 85923552 + ... + 85946848.

It is an arithmetic number, because the mean of its divisors is an integer number (36557520846).

Almost surely, 2^{2002032354400} is an apocalyptic number.

2002032354400 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 2002032354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632141500912).

2002032354400 is an abundant number, since it is smaller than the sum of its proper divisors (3262250647424).

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

2002032354400 is a wasteful number, since it uses less digits than its factorization.

2002032354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31593 (or 31580 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 2002032354400 its reverse (44532302002), we get a palindrome (2046564656402).

The spelling of 2002032354400 in words is "two trillion, two billion, thirty-two million, three hundred fifty-four thousand, four hundred".