2561280160 has 36 divisors (see below), whose sum is σ = 6052537134. Its totient is φ = 1024256000.

The previous prime is 2561280149. The next prime is 2561280191. The reversal of 2561280160 is 610821652.

It can be written as a sum of positive squares in 3 ways, for example, as 639685264 + 1921594896 = 25292^2 + 43836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 638160 + ... + 642160.

Almost surely, 2^2561280160 is an apocalyptic number.

2561280160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561280160 is an abundant number, since it is smaller than the sum of its proper divisors (3491256974).

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

2561280160 is an frugal number, since it uses more digits than its factorization.

2561280160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8017 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 2561280160 is about 50609.0916733347. The cubic root of 2561280160 is about 1368.2087446354.

Multiplying 2561280160 by its product of nonzero digits (5760), we get a square (14752973721600 = 3840960²).

The spelling of 2561280160 in words is "two billion, five hundred sixty-one million, two hundred eighty thousand, one hundred sixty".