2580732000 has 1152 divisors, whose sum is σ = 12265344000. Its totient is φ = 508032000.

The previous prime is 2580731911. The next prime is 2580732017. The reversal of 2580732000 is 2370852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135827991 + ... + 135828009.

It is an arithmetic number, because the mean of its divisors is an integer number (10647000).

Almost surely, 2^2580732000 is an apocalyptic number.

2580732000 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 2580732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672000).

2580732000 is an abundant number, since it is smaller than the sum of its proper divisors (9684612000).

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

2580732000 is a wasteful number, since it uses less digits than its factorization.

2580732000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2580732000 is about 50800.9055037408. The cubic root of 2580732000 is about 1371.6636687735.

The spelling of 2580732000 in words is "two billion, five hundred eighty million, seven hundred thirty-two thousand".