2667948 has 12 divisors (see below), whose sum is σ = 6225240. Its totient is φ = 889312.

The previous prime is 2667947. The next prime is 2667949. The reversal of 2667948 is 8497662.

2667948 is digitally balanced in base 2, 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 (2667947) and next prime (2667949).

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 2¹⁷ + 6³ + 6⁸ + 7⁷ + 9³ + 4 + 8⁵ .

It is not an unprimeable number, because it can be changed into a prime (2667941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111153 + ... + 111176.

It is an arithmetic number, because the mean of its divisors is an integer number (518770).

2^2667948 is an apocalyptic number.

It is an amenable number.

2667948 is an abundant number, since it is smaller than the sum of its proper divisors (3557292).

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

2667948 is a wasteful number, since it uses less digits than its factorization.

2667948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222336 (or 222334 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 2667948 is about 1633.3854413457. The cubic root of 2667948 is about 138.6944619865.

The spelling of 2667948 in words is "two million, six hundred sixty-seven thousand, nine hundred forty-eight".