2580003540 has 288 divisors, whose sum is σ = 8530704000. Its totient is φ = 629130240.

The previous prime is 2580003533. The next prime is 2580003553. The reversal of 2580003540 is 453000852.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17315386 + ... + 17315534.

It is an arithmetic number, because the mean of its divisors is an integer number (29620500).

Almost surely, 2^2580003540 is an apocalyptic number.

2580003540 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 2580003540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265352000).

2580003540 is an abundant number, since it is smaller than the sum of its proper divisors (5950700460).

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

2580003540 is a wasteful number, since it uses less digits than its factorization.

2580003540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2580003540 is about 50793.7352436302. The cubic root of 2580003540 is about 1371.5345973646.

The spelling of 2580003540 in words is "two billion, five hundred eighty million, three thousand, five hundred forty".