2560000000000 has 209 divisors, whose sum is σ = 6399987661897. Its totient is φ = 1024000000000.

The previous prime is 2559999999967. The next prime is 2560000000013. The reversal of 2560000000000 is 652.

The square root of 2560000000000 is 1600000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 14724366336 + 2545275633664 = 121344^2 + 1595392^2 .

It is a Duffinian number.

It is an enlightened number because it begins with the concatenation of its prime factors (25).

It is a junction number, because it is equal to n+sod(n) for n = 2559999999899 and 2559999999908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 10 ways as a sum of consecutive naturals, for example, 511999999998 + ... + 512000000002.

Almost surely, 2^{2560000000000} is an apocalyptic number.

2560000000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2560000000000 is the 1600000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560000000000

2560000000000 is an abundant number, since it is smaller than the sum of its proper divisors (3839987661897).

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

2560000000000 is an frugal number, since it uses more digits than its factorization.

2560000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 2560000000000 its reverse (652), we get a palindrome (2560000000652).

The spelling of 2560000000000 in words is "two trillion, five hundred sixty billion", and thus it is an aban number.