2005972627680 has 864 divisors, whose sum is σ = 8541880401600. Its totient is φ = 419375480832.

The previous prime is 2005972627619. The next prime is 2005972627777. The reversal of 2005972627680 is 867262795002.

2005972627680 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 9 + 7 + 2 + 627 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105518016 + ... + 105537024.

It is an arithmetic number, because the mean of its divisors is an integer number (9886435650).

Almost surely, 2^{2005972627680} is an apocalyptic number.

2005972627680 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 2005972627680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270940200800).

2005972627680 is an abundant number, since it is smaller than the sum of its proper divisors (6535907773920).

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

2005972627680 is a wasteful number, since it uses less digits than its factorization.

2005972627680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19104 (or 19074 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2005972627680 in words is "two trillion, five billion, nine hundred seventy-two million, six hundred twenty-seven thousand, six hundred eighty".