2282468294656 has 405 divisors, whose sum is σ = 5340729406467. Its totient is φ = 974636974080.

The previous prime is 2282468294621. The next prime is 2282468294803. The reversal of 2282468294656 is 6564928642822.

The square root of 2282468294656 is 1510784.

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

It can be written as a sum of positive squares in 4 ways, for example, as 485753241600 + 1796715053056 = 696960^2 + 1340416^2 .

It is a super-2 number, since 2×2282468294656² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61688332270 + ... + 61688332306.

Almost surely, 2^{2282468294656} is an apocalyptic number.

2282468294656 is the 1510784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282468294656

2282468294656 is an abundant number, since it is smaller than the sum of its proper divisors (3058261111811).

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

2282468294656 is an frugal number, since it uses more digits than its factorization.

2282468294656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 79 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 64.

Multiplying 2282468294656 by its sum of digits (64), we get a square (146077970857984 = 12086272²).

2282468294656 divided by its sum of digits (64) gives a square (35663567104 = 188848²).

The spelling of 2282468294656 in words is "two trillion, two hundred eighty-two billion, four hundred sixty-eight million, two hundred ninety-four thousand, six hundred fifty-six".