2210406560 has 96 divisors (see below), whose sum is σ = 5305487040. Its totient is φ = 870166528.

The previous prime is 2210406511. The next prime is 2210406563. The reversal of 2210406560 is 656040122.

2210406560 = T₃₂₀ + T₃₂₁ + ... + T₂₃₆₈.

It is not an unprimeable number, because it can be changed into a prime (2210406563) 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, 3235979 + ... + 3236661.

It is an arithmetic number, because the mean of its divisors is an integer number (55265490).

Almost surely, 2^2210406560 is an apocalyptic number.

2210406560 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 2210406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652743520).

2210406560 is an abundant number, since it is smaller than the sum of its proper divisors (3095080480).

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

2210406560 is a wasteful number, since it uses less digits than its factorization.

2210406560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2210406560 is about 47014.9610230616. The cubic root of 2210406560 is about 1302.6389313970.

Adding to 2210406560 its reverse (656040122), we get a palindrome (2866446682).

The spelling of 2210406560 in words is "two billion, two hundred ten million, four hundred six thousand, five hundred sixty".