2011112764560 has 240 divisors, whose sum is σ = 7153084286400. Its totient is φ = 504953035776.

The previous prime is 2011112764511. The next prime is 2011112764571. The reversal of 2011112764560 is 654672111102.

2011112764560 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 1 + 1 + 2 + 7 + 645 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1778886 + ... + 2680794.

It is an arithmetic number, because the mean of its divisors is an integer number (29804517860).

Almost surely, 2^{2011112764560} is an apocalyptic number.

2011112764560 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 2011112764560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576542143200).

2011112764560 is an abundant number, since it is smaller than the sum of its proper divisors (5141971521840).

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

2011112764560 is a wasteful number, since it uses less digits than its factorization.

2011112764560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902110 (or 902101 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 2011112764560 its reverse (654672111102), we get a palindrome (2665784875662).

The spelling of 2011112764560 in words is "two trillion, eleven billion, one hundred twelve million, seven hundred sixty-four thousand, five hundred sixty".