2536205728 has 192 divisors, whose sum is σ = 6347980800. Its totient is φ = 972933120.

The previous prime is 2536205717. The next prime is 2536205729. The reversal of 2536205728 is 8275026352.

2536205728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2536205729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6200788 + ... + 6201196.

It is an arithmetic number, because the mean of its divisors is an integer number (33062400).

Almost surely, 2^2536205728 is an apocalyptic number.

2536205728 is a gapful number since it is divisible by the number (28) 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 2536205728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173990400).

2536205728 is an abundant number, since it is smaller than the sum of its proper divisors (3811775072).

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

2536205728 is a wasteful number, since it uses less digits than its factorization.

2536205728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 2536205728 is about 50360.7558322947. The cubic root of 2536205728 is about 1363.7292628923.

The spelling of 2536205728 in words is "two billion, five hundred thirty-six million, two hundred five thousand, seven hundred twenty-eight".