2563549560 has 480 divisors, whose sum is σ = 10219698720. Its totient is φ = 572520960.

The previous prime is 2563549553. The next prime is 2563549567. The reversal of 2563549560 is 659453652.

2563549560 is a `hidden beast` number, since 2 + 5 + 635 + 4 + 9 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2563549553) and next prime (2563549567).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563549567) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5096269 + ... + 5096771.

It is an arithmetic number, because the mean of its divisors is an integer number (21291039).

Almost surely, 2^2563549560 is an apocalyptic number.

2563549560 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 2563549560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109849360).

2563549560 is an abundant number, since it is smaller than the sum of its proper divisors (7656149160).

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

2563549560 is a wasteful number, since it uses less digits than its factorization.

2563549560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 2563549560 is about 50631.5075817420. The cubic root of 2563549560 is about 1368.6127218299.

The spelling of 2563549560 in words is "two billion, five hundred sixty-three million, five hundred forty-nine thousand, five hundred sixty".