2563146400 has 36 divisors (see below), whose sum is σ = 6257283102. Its totient is φ = 1025258240.

The previous prime is 2563146367. The next prime is 2563146403. The reversal of 2563146400 is 46413652.

It can be written as a sum of positive squares in 3 ways, for example, as 1796742544 + 766403856 = 42388^2 + 27684^2 .

It is not an unprimeable number, because it can be changed into a prime (2563146403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1601167 + ... + 1602766.

Almost surely, 2^2563146400 is an apocalyptic number.

2563146400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2563146400 is an abundant number, since it is smaller than the sum of its proper divisors (3694136702).

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

2563146400 is a wasteful number, since it uses less digits than its factorization.

2563146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203953 (or 3203940 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2563146400 is about 50627.5261098150. The cubic root of 2563146400 is about 1368.5409725074.

The spelling of 2563146400 in words is "two billion, five hundred sixty-three million, one hundred forty-six thousand, four hundred".