2666960 has 80 divisors (see below), whose sum is σ = 6870096. Its totient is φ = 958464.

The previous prime is 2666953. The next prime is 2666969. The reversal of 2666960 is 696662.

It can be written as a sum of positive squares in 8 ways, for example, as 440896 + 2226064 = 664^2 + 1492^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2666960² = 14225351283200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2666960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2666969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50294 + ... + 50346.

2^2666960 is an apocalyptic number.

2666960 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 2666960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435048).

2666960 is an abundant number, since it is smaller than the sum of its proper divisors (4203136).

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

2666960 is a wasteful number, since it uses less digits than its factorization.

2666960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 2666960 is about 1633.0829740096. The cubic root of 2666960 is about 138.6773393330.

The spelling of 2666960 in words is "two million, six hundred sixty-six thousand, nine hundred sixty".