2536372736352 has 768 divisors, whose sum is σ = 9901259182080. Its totient is φ = 612556701696.

The previous prime is 2536372736333. The next prime is 2536372736353.

2536372736352 is a `hidden beast` number, since 2 + 5 + 363 + 7 + 273 + 6 + 3 + 5 + 2 = 666.

2536372736352 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2536372736353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49428853 + ... + 49480139.

It is an arithmetic number, because the mean of its divisors is an integer number (12892264560).

Almost surely, 2^{2536372736352} 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 2536372736352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950629591040).

2536372736352 is an abundant number, since it is smaller than the sum of its proper divisors (7364886445728).

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

2536372736352 is a wasteful number, since it uses less digits than its factorization.

2536372736352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51380 (or 51366 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 54.

The spelling of 2536372736352 in words is "two trillion, five hundred thirty-six billion, three hundred seventy-two million, seven hundred thirty-six thousand, three hundred fifty-two".