2000842460400 has 720 divisors, whose sum is σ = 7727211721440. Its totient is φ = 440745984000.

The previous prime is 2000842460381. The next prime is 2000842460411. The reversal of 2000842460400 is 40642480002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1665979800 + ... + 1665981000.

It is an arithmetic number, because the mean of its divisors is an integer number (10732238502).

Almost surely, 2^{2000842460400} is an apocalyptic number.

2000842460400 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 2000842460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863605860720).

2000842460400 is an abundant number, since it is smaller than the sum of its proper divisors (5726369261040).

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

2000842460400 is a wasteful number, since it uses less digits than its factorization.

2000842460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 2000842460400 in words is "two trillion, eight hundred forty-two million, four hundred sixty thousand, four hundred".