2280027520576 has 63 divisors (see below), whose sum is σ = 4899571890321. Its totient is φ = 1052247915264.

The previous prime is 2280027520559. The next prime is 2280027520579. The reversal of 2280027520576 is 6750257200822.

The square root of 2280027520576 is 1509976.

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

It can be written as a sum of positive squares in only one way, i.e., 337282177600 + 1942745342976 = 580760^2 + 1393824^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2280027520579) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 157030245 + ... + 157044763.

Almost surely, 2^{2280027520576} is an apocalyptic number.

2280027520576 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2280027520576 is the 1509976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280027520576

2280027520576 is an abundant number, since it is smaller than the sum of its proper divisors (2619544369745).

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

2280027520576 is an frugal number, since it uses more digits than its factorization.

2280027520576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29076 (or 14534 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 2280027520576 in words is "two trillion, two hundred eighty billion, twenty-seven million, five hundred twenty thousand, five hundred seventy-six".