2536528256352 has 192 divisors, whose sum is σ = 7593955830720. Its totient is φ = 823412736000.

The previous prime is 2536528256333. The next prime is 2536528256393.

2536528256352 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 5 + 28 + 2 + 563 + 52 = 666.

2536528256352 is nontrivially palindromic in base 10.

2536528256352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5084848 + ... + 5561360.

It is an arithmetic number, because the mean of its divisors is an integer number (39551853285).

Almost surely, 2^{2536528256352} 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 2536528256352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796977915360).

2536528256352 is an abundant number, since it is smaller than the sum of its proper divisors (5057427574368).

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

2536528256352 is a wasteful number, since it uses less digits than its factorization.

2536528256352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476694 (or 476680 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 54.

The spelling of 2536528256352 in words is "two trillion, five hundred thirty-six billion, five hundred twenty-eight million, two hundred fifty-six thousand, three hundred fifty-two".