2531935752 has 64 divisors (see below), whose sum is σ = 6529828800. Its totient is φ = 817516800.

The previous prime is 2531935751. The next prime is 2531935753. The reversal of 2531935752 is 2575391352.

It is an interprime number because it is at equal distance from previous prime (2531935751) and next prime (2531935753).

It is not an unprimeable number, because it can be changed into a prime (2531935751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197127 + ... + 209577.

It is an arithmetic number, because the mean of its divisors is an integer number (102028575).

Almost surely, 2^2531935752 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 2531935752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264914400).

2531935752 is an abundant number, since it is smaller than the sum of its proper divisors (3997893048).

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

2531935752 is a wasteful number, since it uses less digits than its factorization.

2531935752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12726 (or 12722 counting only the distinct ones).

The product of its digits is 283500, while the sum is 42.

The square root of 2531935752 is about 50318.3440904011. The cubic root of 2531935752 is about 1362.9635045322.

The spelling of 2531935752 in words is "two billion, five hundred thirty-one million, nine hundred thirty-five thousand, seven hundred fifty-two".