2284311779568 has 320 divisors, whose sum is σ = 8222203745280. Its totient is φ = 591088223232.

The previous prime is 2284311779507. The next prime is 2284311779569. The reversal of 2284311779568 is 8659771134822.

2284311779568 is a `hidden beast` number, since 2 + 28 + 4 + 31 + 17 + 7 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284311779569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1535355 + ... + 2631717.

It is an arithmetic number, because the mean of its divisors is an integer number (25694386704).

Almost surely, 2^{2284311779568} is an apocalyptic number.

2284311779568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2284311779568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111101872640).

2284311779568 is an abundant number, since it is smaller than the sum of its proper divisors (5937891965712).

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

2284311779568 is a wasteful number, since it uses less digits than its factorization.

2284311779568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096453 (or 1096441 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 2284311779568 in words is "two trillion, two hundred eighty-four billion, three hundred eleven million, seven hundred seventy-nine thousand, five hundred sixty-eight".