2560056401 has 24 divisors (see below), whose sum is σ = 3164713416. Its totient is φ = 2057717760.

The previous prime is 2560056397. The next prime is 2560056419. The reversal of 2560056401 is 1046500652.

It can be written as a sum of positive squares in 4 ways, for example, as 1614432400 + 945624001 = 40180^2 + 30751^2 .

It is not a de Polignac number, because 2560056401 - 2² = 2560056397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2560056701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228605 + ... + 239541.

It is an arithmetic number, because the mean of its divisors is an integer number (131863059).

Almost surely, 2^2560056401 is an apocalyptic number.

It is an amenable number.

2560056401 is a deficient number, since it is larger than the sum of its proper divisors (604657015).

2560056401 is a wasteful number, since it uses less digits than its factorization.

2560056401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11249 (or 11242 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2560056401 is about 50596.9999209439. Note that the first 4 decimals coincide. The cubic root of 2560056401 is about 1367.9908035544.

The spelling of 2560056401 in words is "two billion, five hundred sixty million, fifty-six thousand, four hundred one".