2560829465249 has 16 divisors (see below), whose sum is σ = 2941867745280. Its totient is φ = 2204597313360.

The previous prime is 2560829465191. The next prime is 2560829465261. The reversal of 2560829465249 is 9425649280652.

It is a happy number.

2560829465249 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2560829465249 - 2¹² = 2560829461153 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2560829465191 and 2560829465200.

It is not an unprimeable number, because it can be changed into a prime (2560829405249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1992209 + ... + 3015054.

It is an arithmetic number, because the mean of its divisors is an integer number (183866734080).

Almost surely, 2^{2560829465249} is an apocalyptic number.

It is an amenable number.

2560829465249 is a deficient number, since it is larger than the sum of its proper divisors (381038280031).

2560829465249 is a wasteful number, since it uses less digits than its factorization.

2560829465249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5009740.

The product of its (nonzero) digits is 74649600, while the sum is 62.

The spelling of 2560829465249 in words is "two trillion, five hundred sixty billion, eight hundred twenty-nine million, four hundred sixty-five thousand, two hundred forty-nine".