2131061760 has 264 divisors, whose sum is σ = 7472368800. Its totient is φ = 561512448.

The previous prime is 2131061759. The next prime is 2131061791. The reversal of 2131061760 is 671601312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4746016 + ... + 4746464.

Almost surely, 2^2131061760 is an apocalyptic number.

2131061760 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 2131061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736184400).

2131061760 is an abundant number, since it is smaller than the sum of its proper divisors (5341307040).

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

2131061760 is a wasteful number, since it uses less digits than its factorization.

2131061760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2131061760 is about 46163.4244830255. The cubic root of 2131061760 is about 1286.8621047173.

The spelling of 2131061760 in words is "two billion, one hundred thirty-one million, sixty-one thousand, seven hundred sixty".