2647540560 has 720 divisors, whose sum is σ = 10936175040. Its totient is φ = 526417920.

The previous prime is 2647540549. The next prime is 2647540627. The reversal of 2647540560 is 650457462.

It is a super-2 number, since 2×2647540560² = 14018942033690227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64574140 + ... + 64574180.

It is an arithmetic number, because the mean of its divisors is an integer number (15189132).

Almost surely, 2^2647540560 is an apocalyptic number.

2647540560 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 2647540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468087520).

2647540560 is an abundant number, since it is smaller than the sum of its proper divisors (8288634480).

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

2647540560 is a wasteful number, since it uses less digits than its factorization.

2647540560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 2647540560 is about 51454.2569667467. The cubic root of 2647540560 is about 1383.3992653854.

The spelling of 2647540560 in words is "two billion, six hundred forty-seven million, five hundred forty thousand, five hundred sixty".