2428323822864 has 405 divisors, whose sum is σ = 7245294018807. Its totient is φ = 759207657600.

The previous prime is 2428323822857. The next prime is 2428323822877. The reversal of 2428323822864 is 4682283238242.

The square root of 2428323822864 is 1558308.

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

2428323822864 is a `hidden beast` number, since 2 + 4 + 283 + 2 + 3 + 82 + 286 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2428323822864.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 34201743949 + ... + 34201744019.

Almost surely, 2^{2428323822864} is an apocalyptic number.

2428323822864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2428323822864 is the 1558308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428323822864

2428323822864 is an abundant number, since it is smaller than the sum of its proper divisors (4816970195943).

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

2428323822864 is an equidigital number, since it uses as much as digits as its factorization.

2428323822864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 166 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 54.

The spelling of 2428323822864 in words is "two trillion, four hundred twenty-eight billion, three hundred twenty-three million, eight hundred twenty-two thousand, eight hundred sixty-four".