2563105680 has 280 divisors, whose sum is σ = 9075222720. Its totient is φ = 672779520.

The previous prime is 2563105673. The next prime is 2563105709. The reversal of 2563105680 is 865013652.

2563105680 is a `hidden beast` number, since 2 + 563 + 10 + 5 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4140411 + ... + 4141029.

Almost surely, 2^2563105680 is an apocalyptic number.

2563105680 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 2563105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537611360).

2563105680 is an abundant number, since it is smaller than the sum of its proper divisors (6512117040).

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

2563105680 is an equidigital number, since it uses as much as digits as its factorization.

2563105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2563105680 is about 50627.1239554451. The cubic root of 2563105680 is about 1368.5337252580.

The spelling of 2563105680 in words is "two billion, five hundred sixty-three million, one hundred five thousand, six hundred eighty".