2055980160 has 192 divisors, whose sum is σ = 7645954680. Its totient is φ = 506068992.

The previous prime is 2055980159. The next prime is 2055980161. The reversal of 2055980160 is 610895502.

It is a happy number.

2055980160 is a `hidden beast` number, since 2 + 0 + 5 + 598 + 0 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2055980159) and next prime (2055980161).

It can be written as a sum of positive squares in 4 ways, for example, as 705858624 + 1350121536 = 26568^2 + 36744^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2055980161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61152 + ... + 88608.

Almost surely, 2^2055980160 is an apocalyptic number.

2055980160 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 2055980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822977340).

2055980160 is an abundant number, since it is smaller than the sum of its proper divisors (5589974520).

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

2055980160 is a wasteful number, since it uses less digits than its factorization.

2055980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27495 (or 27480 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 2055980160 is about 45342.9174182694. The cubic root of 2055980160 is about 1271.5681457921.

The spelling of 2055980160 in words is "two billion, fifty-five million, nine hundred eighty thousand, one hundred sixty".