2582658320 has 40 divisors (see below), whose sum is σ = 6550562880. Its totient is φ = 939148160.

The previous prime is 2582658269. The next prime is 2582658367. The reversal of 2582658320 is 238562852.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1466540 + ... + 1468299.

It is an arithmetic number, because the mean of its divisors is an integer number (163764072).

Almost surely, 2^2582658320 is an apocalyptic number.

2582658320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2582658320 is an abundant number, since it is smaller than the sum of its proper divisors (3967904560).

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

2582658320 is a wasteful number, since it uses less digits than its factorization.

2582658320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934863 (or 2934857 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The square root of 2582658320 is about 50819.8614716727. The cubic root of 2582658320 is about 1372.0048647358.

The spelling of 2582658320 in words is "two billion, five hundred eighty-two million, six hundred fifty-eight thousand, three hundred twenty".