2055241728 has 256 divisors, whose sum is σ = 6417187200. Its totient is φ = 648806400.

The previous prime is 2055241697. The next prime is 2055241729. The reversal of 2055241728 is 8271425502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

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

It is a junction number, because it is equal to n+sod(n) for n = 2055241692 and 2055241701.

It is not an unprimeable number, because it can be changed into a prime (2055241729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20348878 + ... + 20348978.

Almost surely, 2^2055241728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208593600).

2055241728 is an abundant number, since it is smaller than the sum of its proper divisors (4361945472).

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

2055241728 is an equidigital number, since it uses as much as digits as its factorization.

2055241728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2055241728 is about 45334.7739378945. The cubic root of 2055241728 is about 1271.4158941534.

The spelling of 2055241728 in words is "two billion, fifty-five million, two hundred forty-one thousand, seven hundred twenty-eight".