2111848960 has 320 divisors, whose sum is σ = 5939619840. Its totient is φ = 713687040.

The previous prime is 2111848939. The next prime is 2111848997. The reversal of 2111848960 is 698481112.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23728596 + ... + 23728684.

It is an arithmetic number, because the mean of its divisors is an integer number (18561312).

Almost surely, 2^2111848960 is an apocalyptic number.

2111848960 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 2111848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969809920).

2111848960 is an abundant number, since it is smaller than the sum of its proper divisors (3827770880).

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

2111848960 is a wasteful number, since it uses less digits than its factorization.

2111848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 2111848960 is about 45954.8578498509. The cubic root of 2111848960 is about 1282.9831462954.

The spelling of 2111848960 in words is "two billion, one hundred eleven million, eight hundred forty-eight thousand, nine hundred sixty".