2752008 has 32 divisors (see below), whose sum is σ = 7863360. Its totient is φ = 786240.

The previous prime is 2752003. The next prime is 2752021. The reversal of 2752008 is 8002572.

2752008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2752003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8023 + ... + 8358.

It is an arithmetic number, because the mean of its divisors is an integer number (245730).

2^2752008 is an apocalyptic number.

2752008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2752008 is an abundant number, since it is smaller than the sum of its proper divisors (5111352).

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

2752008 is a wasteful number, since it uses less digits than its factorization.

2752008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16397 (or 16393 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2752008 is about 1658.9177194786. The cubic root of 2752008 is about 140.1360582060.

The spelling of 2752008 in words is "two million, seven hundred fifty-two thousand, eight".