2252441456661 has 32 divisors (see below), whose sum is σ = 3320927502336. Its totient is φ = 1346612040000.

The previous prime is 2252441456633. The next prime is 2252441456663. The reversal of 2252441456661 is 1666541442522.

It is not a de Polignac number, because 2252441456661 - 2⁷ = 2252441456533 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2252441456661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252441456663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343621 + ... + 2150106.

It is an arithmetic number, because the mean of its divisors is an integer number (103778984448).

Almost surely, 2^{2252441456661} is an apocalyptic number.

It is an amenable number.

2252441456661 is a deficient number, since it is larger than the sum of its proper divisors (1068486045675).

2252441456661 is a wasteful number, since it uses less digits than its factorization.

2252441456661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494113.

The product of its digits is 2764800, while the sum is 48.

The spelling of 2252441456661 in words is "two trillion, two hundred fifty-two billion, four hundred forty-one million, four hundred fifty-six thousand, six hundred sixty-one".