2582313240 has 192 divisors, whose sum is σ = 8441072640. Its totient is φ = 631687680.

The previous prime is 2582313229. The next prime is 2582313337. The reversal of 2582313240 is 423132852.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2582313198 and 2582313207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4522155 + ... + 4522725.

It is an arithmetic number, because the mean of its divisors is an integer number (43963920).

Almost surely, 2^2582313240 is an apocalyptic number.

2582313240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2582313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220536320).

2582313240 is an abundant number, since it is smaller than the sum of its proper divisors (5858759400).

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

2582313240 is a wasteful number, since it uses less digits than its factorization.

2582313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2582313240 is about 50816.4662289695. The cubic root of 2582313240 is about 1371.9437555390.

The spelling of 2582313240 in words is "two billion, five hundred eighty-two million, three hundred thirteen thousand, two hundred forty".