2111761080 has 768 divisors, whose sum is σ = 9057484800. Its totient is φ = 418037760.

The previous prime is 2111761079. The next prime is 2111761081. The reversal of 2111761080 is 801671112.

It is an interprime number because it is at equal distance from previous prime (2111761079) and next prime (2111761081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111761081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16627977 + ... + 16628103.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^2111761080 is an apocalyptic number.

2111761080 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 2111761080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528742400).

2111761080 is an abundant number, since it is smaller than the sum of its proper divisors (6945723720).

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

2111761080 is a wasteful number, since it uses less digits than its factorization.

2111761080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 2111761080 is about 45953.9016841878. The cubic root of 2111761080 is about 1282.9653498644.

The spelling of 2111761080 in words is "two billion, one hundred eleven million, seven hundred sixty-one thousand, eighty".