2269668059568 has 960 divisors, whose sum is σ = 8254991646720. Its totient is φ = 587806626816.

The previous prime is 2269668059497. The next prime is 2269668059651. The reversal of 2269668059568 is 8659508669622.

2269668059568 is a `hidden beast` number, since 2 + 2 + 6 + 9 + 6 + 6 + 8 + 0 + 59 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2269668059496 and 2269668059505.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6322194973 + ... + 6322195331.

It is an arithmetic number, because the mean of its divisors is an integer number (8598949632).

Almost surely, 2^{2269668059568} is an apocalyptic number.

2269668059568 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 2269668059568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127495823360).

2269668059568 is an abundant number, since it is smaller than the sum of its proper divisors (5985323587152).

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

2269668059568 is a wasteful number, since it uses less digits than its factorization.

2269668059568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 2269668059568 in words is "two trillion, two hundred sixty-nine billion, six hundred sixty-eight million, fifty-nine thousand, five hundred sixty-eight".