2120062560 has 384 divisors, whose sum is σ = 8767180800. Its totient is φ = 417208320.

The previous prime is 2120062489. The next prime is 2120062577. The reversal of 2120062560 is 652600212.

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 2120062560.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 700731 + ... + 703749.

It is an arithmetic number, because the mean of its divisors is an integer number (22831200).

Almost surely, 2^2120062560 is an apocalyptic number.

2120062560 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 2120062560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383590400).

2120062560 is an abundant number, since it is smaller than the sum of its proper divisors (6647118240).

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

2120062560 is a wasteful number, since it uses less digits than its factorization.

2120062560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2120062560 is about 46044.1370860612. The cubic root of 2120062560 is about 1284.6442938392.

Adding to 2120062560 its reverse (652600212), we get a palindrome (2772662772).

The spelling of 2120062560 in words is "two billion, one hundred twenty million, sixty-two thousand, five hundred sixty".