2560517500000 has 96 divisors (see below), whose sum is σ = 6301263556224. Its totient is φ = 1024206000000.

The previous prime is 2560517499971. The next prime is 2560517500001. The reversal of 2560517500000 is 57150652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560517500001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1987897 + ... + 3012103.

It is an arithmetic number, because the mean of its divisors is an integer number (65638162044).

Almost surely, 2^{2560517500000} is an apocalyptic number.

2560517500000 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 2560517500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150631778112).

2560517500000 is an abundant number, since it is smaller than the sum of its proper divisors (3740746056224).

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

2560517500000 is an frugal number, since it uses more digits than its factorization.

2560517500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024252 (or 1024214 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 31.

The spelling of 2560517500000 in words is "two trillion, five hundred sixty billion, five hundred seventeen million, five hundred thousand".