2000413245504 has 224 divisors, whose sum is σ = 5410833984000. Its totient is φ = 652092198912.

The previous prime is 2000413245469. The next prime is 2000413245583. The reversal of 2000413245504 is 4055423140002.

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, 1334497747 + ... + 1334499245.

Almost surely, 2^{2000413245504} is an apocalyptic number.

2000413245504 is a gapful number since it is divisible by the number (24) 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 2000413245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705416992000).

2000413245504 is an abundant number, since it is smaller than the sum of its proper divisors (3410420738496).

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

2000413245504 is a wasteful number, since it uses less digits than its factorization.

2000413245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 2000413245504 its reverse (4055423140002), we get a palindrome (6055836385506).

The spelling of 2000413245504 in words is "two trillion, four hundred thirteen million, two hundred forty-five thousand, five hundred four".