2563786134 has 192 divisors, whose sum is σ = 7242137280. Its totient is φ = 666247680.

The previous prime is 2563786091. The next prime is 2563786157. The reversal of 2563786134 is 4316873652.

2563786134 is a `hidden beast` number, since 2 + 5 + 637 + 8 + 6 + 1 + 3 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2563786134.

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 95 ways as a sum of consecutive naturals, for example, 2510544 + ... + 2511564.

It is an arithmetic number, because the mean of its divisors is an integer number (37719465).

Almost surely, 2^2563786134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563786134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621068640).

2563786134 is an abundant number, since it is smaller than the sum of its proper divisors (4678351146).

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

2563786134 is a wasteful number, since it uses less digits than its factorization.

2563786134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1119 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2563786134 is about 50633.8437608681. The cubic root of 2563786134 is about 1368.6548207789.

The spelling of 2563786134 in words is "two billion, five hundred sixty-three million, seven hundred eighty-six thousand, one hundred thirty-four".