2577506532 has 24 divisors (see below), whose sum is σ = 6208188672. Its totient is φ = 831453600.

The previous prime is 2577506531. The next prime is 2577506593. The reversal of 2577506532 is 2356057752.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2577506531) 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 7 ways as a sum of consecutive naturals, for example, 3464019 + ... + 3464762.

It is an arithmetic number, because the mean of its divisors is an integer number (258674528).

Almost surely, 2^2577506532 is an apocalyptic number.

It is an amenable number.

2577506532 is an abundant number, since it is smaller than the sum of its proper divisors (3630682140).

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

2577506532 is a wasteful number, since it uses less digits than its factorization.

2577506532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928819 (or 6928817 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 42.

The square root of 2577506532 is about 50769.1494118229. The cubic root of 2577506532 is about 1371.0919832031.

The spelling of 2577506532 in words is "two billion, five hundred seventy-seven million, five hundred six thousand, five hundred thirty-two".