2006526761344 has 256 divisors, whose sum is σ = 4712219043840. Its totient is φ = 833288601600.

The previous prime is 2006526761321. The next prime is 2006526761359. The reversal of 2006526761344 is 4431676256002.

It is a super-2 number, since 2×2006526761344² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2006526761294 and 2006526761303.

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 31 ways as a sum of consecutive naturals, for example, 2141436844 + ... + 2141437780.

It is an arithmetic number, because the mean of its divisors is an integer number (18407105640).

Almost surely, 2^{2006526761344} 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 2006526761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356109521920).

2006526761344 is an abundant number, since it is smaller than the sum of its proper divisors (2705692282496).

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

2006526761344 is a wasteful number, since it uses less digits than its factorization.

2006526761344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 2006526761344 in words is "two trillion, six billion, five hundred twenty-six million, seven hundred sixty-one thousand, three hundred forty-four".