2647886560 has 144 divisors (see below), whose sum is σ = 6917300208. Its totient is φ = 957102080.

The previous prime is 2647886539. The next prime is 2647886573. The reversal of 2647886560 is 656887462.

2647886560 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 2×2647886560² = 14022606469257267200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2647886498 and 2647886507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4510587 + ... + 4511173.

It is an arithmetic number, because the mean of its divisors is an integer number (48036807).

Almost surely, 2^2647886560 is an apocalyptic number.

2647886560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2647886560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458650104).

2647886560 is an abundant number, since it is smaller than the sum of its proper divisors (4269413648).

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

2647886560 is a wasteful number, since it uses less digits than its factorization.

2647886560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The square root of 2647886560 is about 51457.6190665678. The cubic root of 2647886560 is about 1383.4595270113.

The spelling of 2647886560 in words is "two billion, six hundred forty-seven million, eight hundred eighty-six thousand, five hundred sixty".