2005716252672 has 768 divisors, whose sum is σ = 6799906713600. Its totient is φ = 578232483840.

The previous prime is 2005716252623. The next prime is 2005716252703. The reversal of 2005716252672 is 2762526175002.

2005716252672 is a `hidden beast` number, since 2 + 0 + 0 + 57 + 1 + 6 + 2 + 526 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×2005716252672² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4294895383 + ... + 4294895849.

It is an arithmetic number, because the mean of its divisors is an integer number (8854045200).

Almost surely, 2^{2005716252672} is an apocalyptic number.

2005716252672 is a gapful number since it is divisible by the number (22) 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 2005716252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399953356800).

2005716252672 is an abundant number, since it is smaller than the sum of its proper divisors (4794190460928).

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

2005716252672 is a wasteful number, since it uses less digits than its factorization.

2005716252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 2005716252672 in words is "two trillion, five billion, seven hundred sixteen million, two hundred fifty-two thousand, six hundred seventy-two".