2582684320 has 48 divisors (see below), whose sum is σ = 6312002760. Its totient is φ = 997448704.

The previous prime is 2582684311. The next prime is 2582684339. The reversal of 2582684320 is 234862852.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1978114576 + 604569744 = 44476^2 + 24588^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 273667 + ... + 282946.

Almost surely, 2^2582684320 is an apocalyptic number.

2582684320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2582684320 is an abundant number, since it is smaller than the sum of its proper divisors (3729318440).

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

2582684320 is a wasteful number, since it uses less digits than its factorization.

2582684320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556657 (or 556649 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 2582684320 is about 50820.1172765274. The cubic root of 2582684320 is about 1372.0094687784.

The spelling of 2582684320 in words is "two billion, five hundred eighty-two million, six hundred eighty-four thousand, three hundred twenty".