2110216560 has 160 divisors (see below), whose sum is σ = 6815135232. Its totient is φ = 539642880.

The previous prime is 2110216543. The next prime is 2110216561. The reversal of 2110216560 is 656120112.

2110216560 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2110216560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110216561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628807 + ... + 632153.

Almost surely, 2^2110216560 is an apocalyptic number.

2110216560 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 2110216560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407567616).

2110216560 is an abundant number, since it is smaller than the sum of its proper divisors (4704918672).

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

2110216560 is a wasteful number, since it uses less digits than its factorization.

2110216560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 2110216560 is about 45937.0935084056. The cubic root of 2110216560 is about 1282.6524910920.

Adding to 2110216560 its reverse (656120112), we get a palindrome (2766336672).

The spelling of 2110216560 in words is "two billion, one hundred ten million, two hundred sixteen thousand, five hundred sixty".