2952208 has 40 divisors (see below), whose sum is σ = 6699968. Its totient is φ = 1233792.

The previous prime is 2952199. The next prime is 2952241. The reversal of 2952208 is 8022592.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4510 + ... + 5122.

2^2952208 is an apocalyptic number.

2952208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2952208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349984).

2952208 is an abundant number, since it is smaller than the sum of its proper divisors (3747760).

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

2952208 is a wasteful number, since it uses less digits than its factorization.

2952208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 2952208 is about 1718.1990571526. The cubic root of 2952208 is about 143.4549871567.

It can be divided in two parts, 2952 and 208, that added together give a triangular number (3160 = T₇₉).

The spelling of 2952208 in words is "two million, nine hundred fifty-two thousand, two hundred eight".