2563315146 has 96 divisors (see below), whose sum is σ = 6717110400. Its totient is φ = 732328128.

The previous prime is 2563315127. The next prime is 2563315151. The reversal of 2563315146 is 6415133652.

2563315146 is a `hidden beast` number, since 2 + 5 + 633 + 1 + 5 + 14 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2563315146.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159010 + ... + 174386.

It is an arithmetic number, because the mean of its divisors is an integer number (69969900).

Almost surely, 2^2563315146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563315146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358555200).

2563315146 is an abundant number, since it is smaller than the sum of its proper divisors (4153795254).

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

2563315146 is an equidigital number, since it uses as much as digits as its factorization.

2563315146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15415 (or 15389 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 2563315146 is about 50629.1926263890. The cubic root of 2563315146 is about 1368.5710047036.

Adding to 2563315146 its reverse (6415133652), we get a palindrome (8978448798).

The spelling of 2563315146 in words is "two billion, five hundred sixty-three million, three hundred fifteen thousand, one hundred forty-six".