2563645520 has 40 divisors (see below), whose sum is σ = 5962583400. Its totient is φ = 1025095680.

The previous prime is 2563645519. The next prime is 2563645571. The reversal of 2563645520 is 255463652.

It can be written as a sum of positive squares in 4 ways, for example, as 189227536 + 2374417984 = 13756^2 + 48728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 432980 + ... + 438860.

It is an arithmetic number, because the mean of its divisors is an integer number (149064585).

Almost surely, 2^2563645520 is an apocalyptic number.

2563645520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2563645520 is an abundant number, since it is smaller than the sum of its proper divisors (3398937880).

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

2563645520 is a wasteful number, since it uses less digits than its factorization.

2563645520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11343 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The square root of 2563645520 is about 50632.4552041475. The cubic root of 2563645520 is about 1368.6297984698.

The spelling of 2563645520 in words is "two billion, five hundred sixty-three million, six hundred forty-five thousand, five hundred twenty".