2667456 has 84 divisors (see below), whose sum is σ = 8360664. Its totient is φ = 806400.

The previous prime is 2667451. The next prime is 2667461. The reversal of 2667456 is 6547662.

It is an interprime number because it is at equal distance from previous prime (2667451) and next prime (2667461).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2667456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6126 + ... + 6546.

2^2667456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180332).

2667456 is an abundant number, since it is smaller than the sum of its proper divisors (5693208).

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

2667456 is a wasteful number, since it uses less digits than its factorization.

2667456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 437 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2667456 is about 1633.2348269615. The cubic root of 2667456 is about 138.6859358495.

The spelling of 2667456 in words is "two million, six hundred sixty-seven thousand, four hundred fifty-six".