2536649952 has 96 divisors (see below), whose sum is σ = 6925474080. Its totient is φ = 811991040.

The previous prime is 2536649897. The next prime is 2536649957. The reversal of 2536649952 is 2599466352.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2536649895 and 2536649904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2536649957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534952 + ... + 539672.

It is an arithmetic number, because the mean of its divisors is an integer number (72140355).

Almost surely, 2^2536649952 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 2536649952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462737040).

2536649952 is an abundant number, since it is smaller than the sum of its proper divisors (4388824128).

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

2536649952 is a wasteful number, since it uses less digits than its factorization.

2536649952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956 (or 4948 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 51.

The square root of 2536649952 is about 50365.1660575045. The cubic root of 2536649952 is about 1363.8088786605.

The spelling of 2536649952 in words is "two billion, five hundred thirty-six million, six hundred forty-nine thousand, nine hundred fifty-two".