2561951296 has 28 divisors (see below), whose sum is σ = 5118011100. Its totient is φ = 1272373760.

The previous prime is 2561951281. The next prime is 2561951377. The reversal of 2561951296 is 6921591652.

It can be written as a sum of positive squares in 2 ways, for example, as 884229696 + 1677721600 = 29736^2 + 40960^2 .

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 3 ways as a sum of consecutive naturals, for example, 124795 + ... + 143866.

Almost surely, 2^2561951296 is an apocalyptic number.

It is an amenable number.

2561951296 is a deficient number, since it is larger than the sum of its proper divisors (2556059804).

2561951296 is a wasteful number, since it uses less digits than its factorization.

2561951296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268822 (or 268812 counting only the distinct ones).

The product of its digits is 291600, while the sum is 46.

The square root of 2561951296 is about 50615.7218263259. The cubic root of 2561951296 is about 1368.3282387809.

The spelling of 2561951296 in words is "two billion, five hundred sixty-one million, nine hundred fifty-one thousand, two hundred ninety-six".