2561228947456 has 45 divisors (see below), whose sum is σ = 5122711288471. Its totient is φ = 1280512049152.

The previous prime is 2561228947451. The next prime is 2561228947517. The reversal of 2561228947456 is 6547498221652.

The square root of 2561228947456 is 1600384.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2561228947394 and 2561228947403.

It is not an unprimeable number, because it can be changed into a prime (2561228947451) 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 2 ways as a sum of consecutive naturals, for example, 204842901 + ... + 204855403.

Almost surely, 2^{2561228947456} is an apocalyptic number.

2561228947456 is the 1600384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561228947456

2561228947456 is an abundant number, since it is smaller than the sum of its proper divisors (2561482341015).

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

2561228947456 is an frugal number, since it uses more digits than its factorization.

2561228947456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25034 (or 12505 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 61.

The spelling of 2561228947456 in words is "two trillion, five hundred sixty-one billion, two hundred twenty-eight million, nine hundred forty-seven thousand, four hundred fifty-six".