2522668516560 has 1120 divisors, whose sum is σ = 9681798896640. Its totient is φ = 608244940800.

The previous prime is 2522668516519. The next prime is 2522668516597. The reversal of 2522668516560 is 656158662252.

2522668516560 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 6 + 68 + 5 + 16 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2522668516497 and 2522668516506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6485008846 + ... + 6485009234.

Almost surely, 2^{2522668516560} is an apocalyptic number.

2522668516560 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 2522668516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840899448320).

2522668516560 is an abundant number, since it is smaller than the sum of its proper divisors (7159130380080).

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

2522668516560 is a wasteful number, since it uses less digits than its factorization.

2522668516560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 2522668516560 in words is "two trillion, five hundred twenty-two billion, six hundred sixty-eight million, five hundred sixteen thousand, five hundred sixty".