2011498579776 has 672 divisors, whose sum is σ = 6674923221120. Its totient is φ = 531372441600.

The previous prime is 2011498579759. The next prime is 2011498579813. The reversal of 2011498579776 is 6779758941102.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×2011498579776³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 95 ways as a sum of consecutive naturals, for example, 2283198856 + ... + 2283199736.

It is an arithmetic number, because the mean of its divisors is an integer number (9932921460).

Almost surely, 2^{2011498579776} 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 2011498579776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337461610560).

2011498579776 is an abundant number, since it is smaller than the sum of its proper divisors (4663424641344).

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

2011498579776 is a wasteful number, since it uses less digits than its factorization.

2011498579776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 66.

The spelling of 2011498579776 in words is "two trillion, eleven billion, four hundred ninety-eight million, five hundred seventy-nine thousand, seven hundred seventy-six".