2001998820096 has 864 divisors, whose sum is σ = 6693465542400. Its totient is φ = 591722496000.

The previous prime is 2001998820089. The next prime is 2001998820097. The reversal of 2001998820096 is 6900288991002.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2001998820097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5736386130 + ... + 5736386478.

It is an arithmetic number, because the mean of its divisors is an integer number (7747066600).

Almost surely, 2^{2001998820096} 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 2001998820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346732771200).

2001998820096 is an abundant number, since it is smaller than the sum of its proper divisors (4691466722304).

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

2001998820096 is a wasteful number, since it uses less digits than its factorization.

2001998820096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 2001998820096 in words is "two trillion, one billion, nine hundred ninety-eight million, eight hundred twenty thousand, ninety-six".