2071191760 has 80 divisors (see below), whose sum is σ = 5274787392. Its totient is φ = 750080000.

The previous prime is 2071191757. The next prime is 2071191761. The reversal of 2071191760 is 671911702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071191761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 216192 + ... + 225568.

Almost surely, 2^2071191760 is an apocalyptic number.

2071191760 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 2071191760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637393696).

2071191760 is an abundant number, since it is smaller than the sum of its proper divisors (3203595632).

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

2071191760 is a wasteful number, since it uses less digits than its factorization.

2071191760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9652 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 34.

The square root of 2071191760 is about 45510.3478343113. The cubic root of 2071191760 is about 1274.6964311242.

The spelling of 2071191760 in words is "two billion, seventy-one million, one hundred ninety-one thousand, seven hundred sixty".