2667360 has 48 divisors (see below), whose sum is σ = 8403696. Its totient is φ = 711168.

The previous prime is 2667359. The next prime is 2667361. The reversal of 2667360 is 637662.

2667360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2667359) and next prime (2667361).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2667360² = 14229618739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 (2667361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2299 + ... + 3258.

It is an arithmetic number, because the mean of its divisors is an integer number (175077).

2^2667360 is an apocalyptic number.

2667360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2667360 is an abundant number, since it is smaller than the sum of its proper divisors (5736336).

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

2667360 is a wasteful number, since it uses less digits than its factorization.

2667360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 2667360 is about 1633.2054371695. The cubic root of 2667360 is about 138.6842720908.

It can be divided in two parts, 266 and 7360, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 2667360 in words is "two million, six hundred sixty-seven thousand, three hundred sixty".