2582880000 has 180 divisors, whose sum is σ = 8591631048. Its totient is φ = 688640000.

The previous prime is 2582879977. The next prime is 2582880017. The reversal of 2582880000 is 882852.

2582880000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 477310 + ... + 482690.

Almost surely, 2^2582880000 is an apocalyptic number.

2582880000 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 2582880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295815524).

2582880000 is an abundant number, since it is smaller than the sum of its proper divisors (6008751048).

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

2582880000 is an frugal number, since it uses more digits than its factorization.

2582880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 2582880000 is about 50822.0424619082. The cubic root of 2582880000 is about 1372.0441185200.

The spelling of 2582880000 in words is "two billion, five hundred eighty-two million, eight hundred eighty thousand".