2005947504000 has 3072 divisors, whose sum is σ = 9007668633600. Its totient is φ = 437944320000.

The previous prime is 2005947503951. The next prime is 2005947504007. The reversal of 2005947504000 is 4057495002.

2005947504000 is a `hidden beast` number, since 20 + 0 + 594 + 7 + 5 + 0 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005947504007) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 22538735956 + ... + 22538736044.

It is an arithmetic number, because the mean of its divisors is an integer number (2932183800).

Almost surely, 2^{2005947504000} is an apocalyptic number.

2005947504000 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 2005947504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503834316800).

2005947504000 is an abundant number, since it is smaller than the sum of its proper divisors (7001721129600).

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

2005947504000 is a wasteful number, since it uses less digits than its factorization.

2005947504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 2005947504000 in words is "two trillion, five billion, nine hundred forty-seven million, five hundred four thousand".