2120261760 has 384 divisors, whose sum is σ = 7905081600. Its totient is φ = 521699328.

The previous prime is 2120261681. The next prime is 2120261761. The reversal of 2120261760 is 671620212.

2120261760 is a `hidden beast` number, since 21 + 20 + 2 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2120261761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5777097 + ... + 5777463.

It is an arithmetic number, because the mean of its divisors is an integer number (20586150).

Almost surely, 2^2120261760 is an apocalyptic number.

2120261760 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 2120261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952540800).

2120261760 is an abundant number, since it is smaller than the sum of its proper divisors (5784819840).

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

2120261760 is a wasteful number, since it uses less digits than its factorization.

2120261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2120261760 is about 46046.3001771043. The cubic root of 2120261760 is about 1284.6845274206.

Adding to 2120261760 its reverse (671620212), we get a palindrome (2791881972).

The spelling of 2120261760 in words is "two billion, one hundred twenty million, two hundred sixty-one thousand, seven hundred sixty".