2582078660 has 192 divisors, whose sum is σ = 6874398720. Its totient is φ = 794327040.

The previous prime is 2582078651. The next prime is 2582078669. The reversal of 2582078660 is 668702852.

2582078660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2582078651) and next prime (2582078669).

It is not an unprimeable number, because it can be changed into a prime (2582078669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5828399 + ... + 5828841.

It is an arithmetic number, because the mean of its divisors is an integer number (35804160).

Almost surely, 2^2582078660 is an apocalyptic number.

2582078660 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 2582078660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437199360).

2582078660 is an abundant number, since it is smaller than the sum of its proper divisors (4292320060).

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

2582078660 is a wasteful number, since it uses less digits than its factorization.

2582078660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 2582078660 is about 50814.1580664287. The cubic root of 2582078660 is about 1371.9022113521.

The spelling of 2582078660 in words is "two billion, five hundred eighty-two million, seventy-eight thousand, six hundred sixty".