2561667272 has 32 divisors (see below), whose sum is σ = 4901212800. Its totient is φ = 1254926400.

The previous prime is 2561667271. The next prime is 2561667281. The reversal of 2561667272 is 2727661652.

2561667272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2561667271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67322 + ... + 98262.

It is an arithmetic number, because the mean of its divisors is an integer number (153162900).

Almost surely, 2^2561667272 is an apocalyptic number.

It is an amenable number.

2561667272 is a deficient number, since it is larger than the sum of its proper divisors (2339545528).

2561667272 is a wasteful number, since it uses less digits than its factorization.

2561667272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31157 (or 31153 counting only the distinct ones).

The product of its digits is 423360, while the sum is 44.

The square root of 2561667272 is about 50612.9160590456. The cubic root of 2561667272 is about 1368.2776715403.

The spelling of 2561667272 in words is "two billion, five hundred sixty-one million, six hundred sixty-seven thousand, two hundred seventy-two".