2666880 has 96 divisors (see below), whose sum is σ = 9228960. Its totient is φ = 709632.

The previous prime is 2666863. The next prime is 2666887. The reversal of 2666880 is 886662.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2666880² = 14224497868800, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5529 + ... + 5991.

It is an arithmetic number, because the mean of its divisors is an integer number (96135).

2^2666880 is an apocalyptic number.

2666880 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 2666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614480).

2666880 is an abundant number, since it is smaller than the sum of its proper divisors (6562080).

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

2666880 is a wasteful number, since it uses less digits than its factorization.

2666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2666880 is about 1633.0584802756. The cubic root of 2666880 is about 138.6759526983.

The spelling of 2666880 in words is "two million, six hundred sixty-six thousand, eight hundred eighty".