2523947536 has 120 divisors (see below), whose sum is σ = 5768604000. Its totient is φ = 1057996800.

The previous prime is 2523947519. The next prime is 2523947539. The reversal of 2523947536 is 6357493252.

It is a super-2 number, since 2×2523947536² = 12740622328960942592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2523947539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5621040 + ... + 5621488.

It is an arithmetic number, because the mean of its divisors is an integer number (48071700).

Almost surely, 2^2523947536 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 2523947536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884302000).

2523947536 is an abundant number, since it is smaller than the sum of its proper divisors (3244656464).

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

2523947536 is a wasteful number, since it uses less digits than its factorization.

2523947536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 522 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 46.

The square root of 2523947536 is about 50238.9046058928. The cubic root of 2523947536 is about 1361.5286185833.

It can be divided in two parts, 2523 and 947536, that added together give a palindrome (950059).

The spelling of 2523947536 in words is "two billion, five hundred twenty-three million, nine hundred forty-seven thousand, five hundred thirty-six".