2561726552 has 64 divisors (see below), whose sum is σ = 6002726400. Its totient is φ = 995696640.

The previous prime is 2561726533. The next prime is 2561726579. The reversal of 2561726552 is 2556271652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265688 + ... + 275160.

It is an arithmetic number, because the mean of its divisors is an integer number (93792600).

Almost surely, 2^2561726552 is an apocalyptic number.

2561726552 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 2561726552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001363200).

2561726552 is an abundant number, since it is smaller than the sum of its proper divisors (3440999848).

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

2561726552 is a wasteful number, since it uses less digits than its factorization.

2561726552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9936 (or 9932 counting only the distinct ones).

The product of its digits is 252000, while the sum is 41.

The square root of 2561726552 is about 50613.5016769241. The cubic root of 2561726552 is about 1368.2882259783.

The spelling of 2561726552 in words is "two billion, five hundred sixty-one million, seven hundred twenty-six thousand, five hundred fifty-two".