2120146560 has 192 divisors, whose sum is σ = 8367166080. Its totient is φ = 484595712.

The previous prime is 2120146543. The next prime is 2120146571. The reversal of 2120146560 is 656410212.

2120146560 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 1 + 4 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14029 + ... + 66611.

It is an arithmetic number, because the mean of its divisors is an integer number (43578990).

Almost surely, 2^2120146560 is an apocalyptic number.

2120146560 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 2120146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183583040).

2120146560 is an abundant number, since it is smaller than the sum of its proper divisors (6247019520).

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

2120146560 is a wasteful number, since it uses less digits than its factorization.

2120146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52615 (or 52600 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2120146560 is about 46045.0492452772. The cubic root of 2120146560 is about 1284.6612601146.

Adding to 2120146560 its reverse (656410212), we get a palindrome (2776556772).

The spelling of 2120146560 in words is "two billion, one hundred twenty million, one hundred forty-six thousand, five hundred sixty".