2582038032 has 80 divisors (see below), whose sum is σ = 7727660160. Its totient is φ = 727612416.

The previous prime is 2582038031. The next prime is 2582038051. The reversal of 2582038032 is 2308302852.

It is a junction number, because it is equal to n+sod(n) for n = 2582037984 and 2582038002.

It is not an unprimeable number, because it can be changed into a prime (2582038031) 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, 28107 + ... + 77162.

It is an arithmetic number, because the mean of its divisors is an integer number (96595752).

Almost surely, 2^2582038032 is an apocalyptic number.

It is an amenable number.

2582038032 is an abundant number, since it is smaller than the sum of its proper divisors (5145622128).

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

2582038032 is a wasteful number, since it uses less digits than its factorization.

2582038032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105360 (or 105354 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2582038032 is about 50813.7582943832. The cubic root of 2582038032 is about 1371.8950158657.

The spelling of 2582038032 in words is "two billion, five hundred eighty-two million, thirty-eight thousand, thirty-two".