2561446272 has 128 divisors (see below), whose sum is σ = 8482809600. Its totient is φ = 665303040.

The previous prime is 2561446271. The next prime is 2561446319. The reversal of 2561446272 is 2726441652.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2561446272² = 13122014008685395968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2561446272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561446271) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13747 + ... + 72882.

It is an arithmetic number, because the mean of its divisors is an integer number (66271950).

Almost surely, 2^2561446272 is an apocalyptic number.

2561446272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241404800).

2561446272 is an abundant number, since it is smaller than the sum of its proper divisors (5921363328).

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

2561446272 is a wasteful number, since it uses less digits than its factorization.

2561446272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86664 (or 86652 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 2561446272 is about 50610.7327747781. The cubic root of 2561446272 is about 1368.2383224199.

The spelling of 2561446272 in words is "two billion, five hundred sixty-one million, four hundred forty-six thousand, two hundred seventy-two".