2002404245200 has 60 divisors (see below), whose sum is σ = 4817000456748. Its totient is φ = 799925401600.

The previous prime is 2002404245189. The next prime is 2002404245207. The reversal of 2002404245200 is 25424042002.

It can be written as a sum of positive squares in 6 ways, for example, as 742092656704 + 1260311588496 = 861448^2 + 1122636^2 .

It is a super-2 number, since 2×2002404245200² (a number of 25 digits) contains 22 as substring.

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 (2002404245207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2928841 + ... + 3547240.

Almost surely, 2^{2002404245200} is an apocalyptic number.

2002404245200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002404245200 is an abundant number, since it is smaller than the sum of its proper divisors (2814596211548).

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

2002404245200 is a wasteful number, since it uses less digits than its factorization.

2002404245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6476872 (or 6476861 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 2002404245200 its reverse (25424042002), we get a palindrome (2027828287202).

The spelling of 2002404245200 in words is "two trillion, two billion, four hundred four million, two hundred forty-five thousand, two hundred".