2668256910399 has 32 divisors (see below), whose sum is σ = 3859045122240. Its totient is φ = 1633274265600.

The previous prime is 2668256910353. The next prime is 2668256910401. The reversal of 2668256910399 is 9930196528662.

It is a Cunningham number, because it is equal to 1633480²-1.

It is not a de Polignac number, because 2668256910399 - 2¹² = 2668256906303 is a prime.

It is a super-2 number, since 2×2668256910399² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668256900399) 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, 66952719 + ... + 66992559.

It is an arithmetic number, because the mean of its divisors is an integer number (120595160070).

Almost surely, 2^{2668256910399} is an apocalyptic number.

2668256910399 is a deficient number, since it is larger than the sum of its proper divisors (1190788211841).

2668256910399 is a wasteful number, since it uses less digits than its factorization.

2668256910399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71931.

The product of its (nonzero) digits is 75582720, while the sum is 66.

The spelling of 2668256910399 in words is "two trillion, six hundred sixty-eight billion, two hundred fifty-six million, nine hundred ten thousand, three hundred ninety-nine".