2536725312 has 252 divisors, whose sum is σ = 8466242148. Its totient is φ = 723148800.

The previous prime is 2536725311. The next prime is 2536725337. The reversal of 2536725312 is 2135276352.

2536725312 is a `hidden beast` number, since 2 + 53 + 6 + 72 + 531 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2233129536 + 303595776 = 47256^2 + 17424^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2536725311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1183762 + ... + 1185902.

It is an arithmetic number, because the mean of its divisors is an integer number (33596199).

Almost surely, 2^2536725312 is an apocalyptic number.

2536725312 is a gapful number since it is divisible by the number (22) 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 2536725312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233121074).

2536725312 is an abundant number, since it is smaller than the sum of its proper divisors (5929516836).

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

2536725312 is a wasteful number, since it uses less digits than its factorization.

2536725312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2174 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 2536725312 is about 50365.9141880697. The cubic root of 2536725312 is about 1363.8223840871.

The spelling of 2536725312 in words is "two billion, five hundred thirty-six million, seven hundred twenty-five thousand, three hundred twelve".