2666952 has 32 divisors (see below), whose sum is σ = 7408800. Its totient is φ = 888912.

The previous prime is 2666947. The next prime is 2666953. The reversal of 2666952 is 2596662.

It is a super-2 number, since 2×2666952² = 14225265940608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2666953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5958 + ... + 6389.

It is an arithmetic number, because the mean of its divisors is an integer number (231525).

2^2666952 is an apocalyptic number.

It is an amenable number.

2666952 is an abundant number, since it is smaller than the sum of its proper divisors (4741848).

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

2666952 is a wasteful number, since it uses less digits than its factorization.

2666952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12362 (or 12352 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2666952 is about 1633.0805246527. The cubic root of 2666952 is about 138.6772006708.

Subtracting from 2666952 its product of digits (38880), we obtain a cube (2628072 = 138³).

The spelling of 2666952 in words is "two million, six hundred sixty-six thousand, nine hundred fifty-two".