2282428934464 has 336 divisors, whose sum is σ = 5754657528000. Its totient is φ = 894500748288.

The previous prime is 2282428934453. The next prime is 2282428934473. The reversal of 2282428934464 is 4644398242822.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 2282428934399 and 2282428934408.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 623783067 + ... + 623786725.

Almost surely, 2^{2282428934464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282428934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877328764000).

2282428934464 is an abundant number, since it is smaller than the sum of its proper divisors (3472228593536).

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

2282428934464 is an equidigital number, since it uses as much as digits as its factorization.

2282428934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3716 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 58.

The spelling of 2282428934464 in words is "two trillion, two hundred eighty-two billion, four hundred twenty-eight million, nine hundred thirty-four thousand, four hundred sixty-four".