2005491694080 has 640 divisors, whose sum is σ = 7579889856000. Its totient is φ = 452075323392.

The previous prime is 2005491694027. The next prime is 2005491694097. The reversal of 2005491694080 is 804961945002.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 192294306 + ... + 192304734.

It is an arithmetic number, because the mean of its divisors is an integer number (11843577900).

Almost surely, 2^{2005491694080} is an apocalyptic number.

2005491694080 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 2005491694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789944928000).

2005491694080 is an abundant number, since it is smaller than the sum of its proper divisors (5574398161920).

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

2005491694080 is an equidigital number, since it uses as much as digits as its factorization.

2005491694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10549 (or 10519 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 2005491694080 in words is "two trillion, five billion, four hundred ninety-one million, six hundred ninety-four thousand, eighty".