2264822180352 has 320 divisors, whose sum is σ = 6882558059520. Its totient is φ = 734952960000.

The previous prime is 2264822180351. The next prime is 2264822180377. The reversal of 2264822180352 is 2530812284622.

2264822180352 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 82 + 218 + 0 + 352 = 666.

It is a super-2 number, since 2×2264822180352² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2264822180298 and 2264822180307.

It is not an unprimeable number, because it can be changed into a prime (2264822180351) 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 31 ways as a sum of consecutive naturals, for example, 184862227 + ... + 184874477.

It is an arithmetic number, because the mean of its divisors is an integer number (21507993936).

Almost surely, 2^{2264822180352} 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 2264822180352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441279029760).

2264822180352 is an abundant number, since it is smaller than the sum of its proper divisors (4617735879168).

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

2264822180352 is a wasteful number, since it uses less digits than its factorization.

2264822180352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12632 (or 12610 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2264822180352 in words is "two trillion, two hundred sixty-four billion, eight hundred twenty-two million, one hundred eighty thousand, three hundred fifty-two".