2561771652 has 24 divisors (see below), whose sum is σ = 6520873632. Its totient is φ = 776294400.

The previous prime is 2561771651. The next prime is 2561771657.

It is a happy number.

2561771652 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2561771651) 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 7 ways as a sum of consecutive naturals, for example, 9703549 + ... + 9703812.

It is an arithmetic number, because the mean of its divisors is an integer number (271703068).

Almost surely, 2^2561771652 is an apocalyptic number.

2561771652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2561771652 is an abundant number, since it is smaller than the sum of its proper divisors (3959101980).

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

2561771652 is a wasteful number, since it uses less digits than its factorization.

2561771652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19407379 (or 19407377 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The square root of 2561771652 is about 50613.9472082548. The cubic root of 2561771652 is about 1368.2962556457.

The spelling of 2561771652 in words is "two billion, five hundred sixty-one million, seven hundred seventy-one thousand, six hundred fifty-two".