2656456516 has 24 divisors (see below), whose sum is σ = 5625438336. Its totient is φ = 1071511680.

The previous prime is 2656456511. The next prime is 2656456529. The reversal of 2656456516 is 6156546562.

2656456516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2656456516² = 14113522442797716512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2656456511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2789920 + ... + 2790871.

It is an arithmetic number, because the mean of its divisors is an integer number (234393264).

Almost surely, 2^2656456516 is an apocalyptic number.

It is an amenable number.

2656456516 is an abundant number, since it is smaller than the sum of its proper divisors (2968981820).

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

2656456516 is a wasteful number, since it uses less digits than its factorization.

2656456516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580819 (or 5580817 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 46.

The square root of 2656456516 is about 51540.8237807663. The cubic root of 2656456516 is about 1384.9504543350.

The spelling of 2656456516 in words is "two billion, six hundred fifty-six million, four hundred fifty-six thousand, five hundred sixteen".