2052056160 has 768 divisors, whose sum is σ = 9289728000. Its totient is φ = 410572800.

The previous prime is 2052056131. The next prime is 2052056177. The reversal of 2052056160 is 616502502.

2052056160 is a `hidden beast` number, since 20 + 5 + 20 + 5 + 616 + 0 = 666.

2052056160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10311741 + ... + 10311939.

It is an arithmetic number, because the mean of its divisors is an integer number (12096000).

Almost surely, 2^2052056160 is an apocalyptic number.

2052056160 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 2052056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644864000).

2052056160 is an abundant number, since it is smaller than the sum of its proper divisors (7237671840).

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

2052056160 is a wasteful number, since it uses less digits than its factorization.

2052056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2052056160 is about 45299.6264885264. The cubic root of 2052056160 is about 1270.7586679510.

Adding to 2052056160 its reverse (616502502), we get a palindrome (2668558662).

The spelling of 2052056160 in words is "two billion, fifty-two million, fifty-six thousand, one hundred sixty".