2563656480 has 720 divisors, whose sum is σ = 11512803456. Its totient is φ = 531256320.

The previous prime is 2563656461. The next prime is 2563656493. The reversal of 2563656480 is 846563652.

2563656480 is a `hidden beast` number, since 2 + 5 + 6 + 3 + 6 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×2563656480³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6985257 + ... + 6985623.

Almost surely, 2^2563656480 is an apocalyptic number.

2563656480 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 2563656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756401728).

2563656480 is an abundant number, since it is smaller than the sum of its proper divisors (8949146976).

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

2563656480 is a wasteful number, since it uses less digits than its factorization.

2563656480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 2563656480 is about 50632.5634350069. The cubic root of 2563656480 is about 1368.6317488384.

The spelling of 2563656480 in words is "two billion, five hundred sixty-three million, six hundred fifty-six thousand, four hundred eighty".