2582337984 has 28 divisors (see below), whose sum is σ = 6832436424. Its totient is φ = 860779264.

The previous prime is 2582337983. The next prime is 2582338001. The reversal of 2582337984 is 4897332852.

2582337984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2582337983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6724647 + ... + 6725030.

Almost surely, 2^2582337984 is an apocalyptic number.

2582337984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2582337984 is an abundant number, since it is smaller than the sum of its proper divisors (4250098440).

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

2582337984 is a wasteful number, since it uses less digits than its factorization.

2582337984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13449692 (or 13449682 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 2582337984 is about 50816.7096927772. The cubic root of 2582337984 is about 1371.9481375620.

The spelling of 2582337984 in words is "two billion, five hundred eighty-two million, three hundred thirty-seven thousand, nine hundred eighty-four".