2760563552560 has 160 divisors (see below), whose sum is σ = 7247927174400. Its totient is φ = 968598113280.

The previous prime is 2760563552533. The next prime is 2760563552563. The reversal of 2760563552560 is 652553650672.

It is a super-2 number, since 2×2760563552560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2760563552498 and 2760563552507.

It is not an unprimeable number, because it can be changed into a prime (2760563552563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40261827 + ... + 40330333.

It is an arithmetic number, because the mean of its divisors is an integer number (45299544840).

Almost surely, 2^{2760563552560} is an apocalyptic number.

2760563552560 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 2760563552560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623963587200).

2760563552560 is an abundant number, since it is smaller than the sum of its proper divisors (4487363621840).

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

2760563552560 is a wasteful number, since it uses less digits than its factorization.

2760563552560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70139 (or 70133 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 52.

The spelling of 2760563552560 in words is "two trillion, seven hundred sixty billion, five hundred sixty-three million, five hundred fifty-two thousand, five hundred sixty".