2668105440 has 768 divisors, whose sum is σ = 12558551040. Its totient is φ = 510935040.

The previous prime is 2668105439. The next prime is 2668105459. The reversal of 2668105440 is 445018662.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2668105395 and 2668105404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4324012 + ... + 4324628.

It is an arithmetic number, because the mean of its divisors is an integer number (16352280).

Almost surely, 2^2668105440 is an apocalyptic number.

2668105440 is a gapful number since it is divisible by the number (20) 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 2668105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279275520).

2668105440 is an abundant number, since it is smaller than the sum of its proper divisors (9890445600).

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

2668105440 is a wasteful number, since it uses less digits than its factorization.

2668105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2668105440 is about 51653.7069337719. The cubic root of 2668105440 is about 1386.9719012894.

The spelling of 2668105440 in words is "two billion, six hundred sixty-eight million, one hundred five thousand, four hundred forty".