2268528049680 has 80 divisors (see below), whose sum is σ = 7042825105344. Its totient is φ = 604047208960.

The previous prime is 2268528049651. The next prime is 2268528049687. The reversal of 2268528049680 is 869408258622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2268528049687) 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 15 ways as a sum of consecutive naturals, for example, 6818466 + ... + 7143425.

Almost surely, 2^{2268528049680} is an apocalyptic number.

2268528049680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2268528049680 is an abundant number, since it is smaller than the sum of its proper divisors (4774297055664).

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

2268528049680 is a wasteful number, since it uses less digits than its factorization.

2268528049680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13962584 (or 13962578 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 2268528049680 in words is "two trillion, two hundred sixty-eight billion, five hundred twenty-eight million, forty-nine thousand, six hundred eighty".