2000419802496 has 192 divisors, whose sum is σ = 6105737523600. Its totient is φ = 626480087040.

The previous prime is 2000419802473. The next prime is 2000419802501. The reversal of 2000419802496 is 6942089140002.

2000419802496 is a `hidden beast` number, since 200 + 0 + 419 + 8 + 0 + 24 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 11093020 + ... + 11271908.

Almost surely, 2^{2000419802496} 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 2000419802496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052868761800).

2000419802496 is an abundant number, since it is smaller than the sum of its proper divisors (4105317721104).

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

2000419802496 is a wasteful number, since it uses less digits than its factorization.

2000419802496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179497 (or 179482 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2000419802496 in words is "two trillion, four hundred nineteen million, eight hundred two thousand, four hundred ninety-six".