2122106560 has 56 divisors (see below), whose sum is σ = 5775167520. Its totient is φ = 727578624.

The previous prime is 2122106557. The next prime is 2122106593. The reversal of 2122106560 is 656012212.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471445 + ... + 475924.

Almost surely, 2^2122106560 is an apocalyptic number.

2122106560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122106560 is an abundant number, since it is smaller than the sum of its proper divisors (3653060960).

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

2122106560 is an equidigital number, since it uses as much as digits as its factorization.

2122106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947393 (or 947383 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2122106560 is about 46066.3278328108. The cubic root of 2122106560 is about 1285.0570127167.

Adding to 2122106560 its reverse (656012212), we get a palindrome (2778118772).

The spelling of 2122106560 in words is "two billion, one hundred twenty-two million, one hundred six thousand, five hundred sixty".