2052728055240 has 256 divisors, whose sum is σ = 6639833088000. Its totient is φ = 506199091200.

The previous prime is 2052728055221. The next prime is 2052728055289. The reversal of 2052728055240 is 425508272502.

It is a junction number, because it is equal to n+sod(n) for n = 2052728055192 and 2052728055201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89741005 + ... + 89763875.

It is an arithmetic number, because the mean of its divisors is an integer number (25936848000).

Almost surely, 2^{2052728055240} is an apocalyptic number.

2052728055240 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 2052728055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319916544000).

2052728055240 is an abundant number, since it is smaller than the sum of its proper divisors (4587105032760).

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

2052728055240 is a wasteful number, since it uses less digits than its factorization.

2052728055240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23988 (or 23984 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The spelling of 2052728055240 in words is "two trillion, fifty-two billion, seven hundred twenty-eight million, fifty-five thousand, two hundred forty".