2667288 has 64 divisors (see below), whose sum is σ = 7338240. Its totient is φ = 802944.

The previous prime is 2667263. The next prime is 2667289. The reversal of 2667288 is 8827662.

It is a super-2 number, since 2×2667288² = 14228850549888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667289) 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, 25845 + ... + 25947.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

2^2667288 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 2667288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669120).

2667288 is an abundant number, since it is smaller than the sum of its proper divisors (4670952).

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

2667288 is a wasteful number, since it uses less digits than its factorization.

2667288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 2667288 is about 1633.1833944784. The cubic root of 2667288 is about 138.6830242455.

The spelling of 2667288 in words is "two million, six hundred sixty-seven thousand, two hundred eighty-eight".