2666666240 has 432 divisors, whose sum is σ = 8191444464. Its totient is φ = 825753600.

The previous prime is 2666666201. The next prime is 2666666273. The reversal of 2666666240 is 426666662.

It can be written as a sum of positive squares in 8 ways, for example, as 629407744 + 2037258496 = 25088^2 + 45136^2 .

It is a super-2 number, since 2×2666666240² = 14222217671111475200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2666666191 and 2666666200.

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 47 ways as a sum of consecutive naturals, for example, 43715810 + ... + 43715870.

It is an arithmetic number, because the mean of its divisors is an integer number (18961677).

Almost surely, 2^2666666240 is an apocalyptic number.

2666666240 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 2666666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095722232).

2666666240 is an abundant number, since it is smaller than the sum of its proper divisors (5524778224).

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

2666666240 is a wasteful number, since it uses less digits than its factorization.

2666666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The square root of 2666666240 is about 51639.7738182498. The cubic root of 2666666240 is about 1386.7224747427.

The spelling of 2666666240 in words is "two billion, six hundred sixty-six million, six hundred sixty-six thousand, two hundred forty".