2580603068160 has 1296 divisors, whose sum is σ = 10350030809664. Its totient is φ = 591272607744.

The previous prime is 2580603068111. The next prime is 2580603068189. The reversal of 2580603068160 is 618603060852.

2580603068160 is a `hidden beast` number, since 2 + 580 + 6 + 0 + 3 + 0 + 6 + 8 + 1 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3408986502 + ... + 3408987258.

It is an arithmetic number, because the mean of its divisors is an integer number (7986134884).

Almost surely, 2^{2580603068160} is an apocalyptic number.

2580603068160 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 2580603068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175015404832).

2580603068160 is an abundant number, since it is smaller than the sum of its proper divisors (7769427741504).

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

2580603068160 is a wasteful number, since it uses less digits than its factorization.

2580603068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2580603068160 in words is "two trillion, five hundred eighty billion, six hundred three million, sixty-eight thousand, one hundred sixty".