2561601440 has 24 divisors (see below), whose sum is σ = 6051783780. Its totient is φ = 1024640512.

The previous prime is 2561601397. The next prime is 2561601443. The reversal of 2561601440 is 441061652.

It can be written as a sum of positive squares in 2 ways, for example, as 2561574544 + 26896 = 50612^2 + 164^2 .

It is not an unprimeable number, because it can be changed into a prime (2561601443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8004845 + ... + 8005164.

Almost surely, 2^2561601440 is an apocalyptic number.

2561601440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561601440 is an abundant number, since it is smaller than the sum of its proper divisors (3490182340).

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

2561601440 is a wasteful number, since it uses less digits than its factorization.

2561601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16010024 (or 16010016 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2561601440 is about 50612.2657070398. The cubic root of 2561601440 is about 1368.2659503684.

The spelling of 2561601440 in words is "two billion, five hundred sixty-one million, six hundred one thousand, four hundred forty".