2667852 has 36 divisors (see below), whose sum is σ = 7357896. Its totient is φ = 808320.

The previous prime is 2667851. The next prime is 2667859. The reversal of 2667852 is 2587662.

2667852 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a d-powerful number, because it can be written as 2¹⁵ + 6³ + 6⁸ + 7⁷ + 8³ + 5³ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (2667851) 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, 2973 + ... + 3764.

It is an arithmetic number, because the mean of its divisors is an integer number (204386).

2^2667852 is an apocalyptic number.

2667852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2667852 is an abundant number, since it is smaller than the sum of its proper divisors (4690044).

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

2667852 is a wasteful number, since it uses less digits than its factorization.

2667852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6753 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2667852 is about 1633.3560542637. The cubic root of 2667852 is about 138.6927984323.

It can be divided in two parts, 266 and 7852, that added together give a palindrome (8118).

The spelling of 2667852 in words is "two million, six hundred sixty-seven thousand, eight hundred fifty-two".