2580480000 has 510 divisors, whose sum is σ = 10646110904. Its totient is φ = 589824000.

The previous prime is 2580479999. The next prime is 2580480029. The reversal of 2580480000 is 840852.

2580480000 is a `hidden beast` number, since 2 + 580 + 4 + 80 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 368639997 + ... + 368640003.

Almost surely, 2^2580480000 is an apocalyptic number.

2580480000 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 2580480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323055452).

2580480000 is an abundant number, since it is smaller than the sum of its proper divisors (8065630904).

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

2580480000 is an frugal number, since it uses more digits than its factorization.

2580480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2580480000 is about 50798.4251724401. The cubic root of 2580480000 is about 1371.6190211701.

The spelling of 2580480000 in words is "two billion, five hundred eighty million, four hundred eighty thousand".