2560434001140 has 48 divisors (see below), whose sum is σ = 7290727335360. Its totient is φ = 671209816320.

The previous prime is 2560434001127. The next prime is 2560434001157. The reversal of 2560434001140 is 411004340652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2560434001098 and 2560434001107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361639681 + ... + 361646760.

It is an arithmetic number, because the mean of its divisors is an integer number (151890152820).

Almost surely, 2^{2560434001140} is an apocalyptic number.

2560434001140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2560434001140 is an abundant number, since it is smaller than the sum of its proper divisors (4730293334220).

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

2560434001140 is a wasteful number, since it uses less digits than its factorization.

2560434001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723286512 (or 723286510 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 2560434001140 its reverse (411004340652), we get a palindrome (2971438341792).

The spelling of 2560434001140 in words is "two trillion, five hundred sixty billion, four hundred thirty-four million, one thousand, one hundred forty".