2011241531160 has 192 divisors, whose sum is σ = 6785599111200. Its totient is φ = 535779588096.

The previous prime is 2011241531119. The next prime is 2011241531219. The reversal of 2011241531160 is 611351421102.

2011241531160 is a `hidden beast` number, since 2 + 0 + 1 + 124 + 1 + 531 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9390546 + ... + 9602334.

Almost surely, 2^{2011241531160} is an apocalyptic number.

2011241531160 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 2011241531160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392799555600).

2011241531160 is an abundant number, since it is smaller than the sum of its proper divisors (4774357580040).

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

2011241531160 is a wasteful number, since it uses less digits than its factorization.

2011241531160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212792 (or 212776 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 2011241531160 its reverse (611351421102), we get a palindrome (2622592952262).

The spelling of 2011241531160 in words is "two trillion, eleven billion, two hundred forty-one million, five hundred thirty-one thousand, one hundred sixty".