2559466211280 has 320 divisors, whose sum is σ = 8843235782400. Its totient is φ = 607135334400.

The previous prime is 2559466211249. The next prime is 2559466211287. The reversal of 2559466211280 is 821126649552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2559466211287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31039546 + ... + 31121894.

It is an arithmetic number, because the mean of its divisors is an integer number (27635111820).

Almost surely, 2^{2559466211280} is an apocalyptic number.

2559466211280 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 2559466211280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421617891200).

2559466211280 is an abundant number, since it is smaller than the sum of its proper divisors (6283769571120).

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

2559466211280 is a wasteful number, since it uses less digits than its factorization.

2559466211280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82630 (or 82624 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 2559466211280 in words is "two trillion, five hundred fifty-nine billion, four hundred sixty-six million, two hundred eleven thousand, two hundred eighty".