2560134342144 has 80 divisors (see below), whose sum is σ = 6822211944240. Its totient is φ = 853146132480.

The previous prime is 2560134342131. The next prime is 2560134342163. The reversal of 2560134342144 is 4412434310652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5472334 + ... + 5921714.

It is an arithmetic number, because the mean of its divisors is an integer number (85277649303).

Almost surely, 2^{2560134342144} is an apocalyptic number.

2560134342144 is a gapful number since it is divisible by the number (24) 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 2560134342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411105972120).

2560134342144 is an abundant number, since it is smaller than the sum of its proper divisors (4262077602096).

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

2560134342144 is an equidigital number, since it uses as much as digits as its factorization.

2560134342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453111 (or 453095 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

Adding to 2560134342144 its reverse (4412434310652), we get a palindrome (6972568652796).

The spelling of 2560134342144 in words is "two trillion, five hundred sixty billion, one hundred thirty-four million, three hundred forty-two thousand, one hundred forty-four".