2505962536 has 64 divisors (see below), whose sum is σ = 5968702080. Its totient is φ = 957914880.

The previous prime is 2505962521. The next prime is 2505962549. The reversal of 2505962536 is 6352695052.

2505962536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2505962492 and 2505962501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5731 + ... + 71026.

It is an arithmetic number, because the mean of its divisors is an integer number (93260970).

Almost surely, 2^2505962536 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 2505962536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984351040).

2505962536 is an abundant number, since it is smaller than the sum of its proper divisors (3462739544).

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

2505962536 is a wasteful number, since it uses less digits than its factorization.

2505962536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76834 (or 76830 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 43.

The square root of 2505962536 is about 50059.5898504972. The cubic root of 2505962536 is about 1358.2869391492.

The spelling of 2505962536 in words is "two billion, five hundred five million, nine hundred sixty-two thousand, five hundred thirty-six".