2667920 has 20 divisors (see below), whose sum is σ = 6203100. Its totient is φ = 1067136.

The previous prime is 2667919. The next prime is 2667937. The reversal of 2667920 is 297662.

It can be written as a sum of positive squares in 2 ways, for example, as 1948816 + 719104 = 1396^2 + 848^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16595 + ... + 16754.

It is an arithmetic number, because the mean of its divisors is an integer number (310155).

2^2667920 is an apocalyptic number.

2667920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2667920 is an abundant number, since it is smaller than the sum of its proper divisors (3535180).

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

2667920 is a wasteful number, since it uses less digits than its factorization.

2667920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33362 (or 33356 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 2667920 is about 1633.3768701681. The cubic root of 2667920 is about 138.6939767873.

The spelling of 2667920 in words is "two million, six hundred sixty-seven thousand, nine hundred twenty".