2582542080 has 216 divisors, whose sum is σ = 9461651472. Its totient is φ = 648118272.

The previous prime is 2582542069. The next prime is 2582542139. The reversal of 2582542080 is 802452852.

2582542080 is a `hidden beast` number, since 2 + 582 + 54 + 20 + 8 + 0 = 666.

2582542080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189247 + ... + 202433.

It is an arithmetic number, because the mean of its divisors is an integer number (43803942).

Almost surely, 2^2582542080 is an apocalyptic number.

2582542080 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 2582542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730825736).

2582542080 is an abundant number, since it is smaller than the sum of its proper divisors (6879109392).

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

2582542080 is a wasteful number, since it uses less digits than its factorization.

2582542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13231 (or 13214 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2582542080 is about 50818.7178114521. The cubic root of 2582542080 is about 1371.9842807459.

The spelling of 2582542080 in words is "two billion, five hundred eighty-two million, five hundred forty-two thousand, eighty".