2560617216 has 54 divisors (see below), whose sum is σ = 7382897340. Its totient is φ = 853538304.

The previous prime is 2560617211. The next prime is 2560617217. The reversal of 2560617216 is 6127160652.

It is a happy number.

2560617216 is a `hidden beast` number, since 25 + 6 + 0 + 617 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2560617211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 553386 + ... + 557993.

Almost surely, 2^2560617216 is an apocalyptic number.

It is an amenable number.

2560617216 is an abundant number, since it is smaller than the sum of its proper divisors (4822280124).

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

2560617216 is a wasteful number, since it uses less digits than its factorization.

2560617216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111401 (or 1111384 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2560617216 is about 50602.5415962479. The cubic root of 2560617216 is about 1368.0906885606.

Adding to 2560617216 its reverse (6127160652), we get a palindrome (8687777868).

The spelling of 2560617216 in words is "two billion, five hundred sixty million, six hundred seventeen thousand, two hundred sixteen".