2111563680 has 96 divisors (see below), whose sum is σ = 6713751744. Its totient is φ = 557807616.

The previous prime is 2111563679. The next prime is 2111563681. The reversal of 2111563680 is 863651112.

It is an interprime number because it is at equal distance from previous prime (2111563679) and next prime (2111563681).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2111563681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30804 + ... + 71916.

It is an arithmetic number, because the mean of its divisors is an integer number (69934914).

Almost surely, 2^2111563680 is an apocalyptic number.

2111563680 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 2111563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356875872).

2111563680 is an abundant number, since it is smaller than the sum of its proper divisors (4602188064).

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

2111563680 is a wasteful number, since it uses less digits than its factorization.

2111563680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41238 (or 41230 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2111563680 is about 45951.7538294242. The cubic root of 2111563680 is about 1282.9253729222.

The spelling of 2111563680 in words is "two billion, one hundred eleven million, five hundred sixty-three thousand, six hundred eighty".