2920008 has 96 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 766080.

The previous prime is 2919989. The next prime is 2920013. The reversal of 2920008 is 8000292.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15193 + ... + 15383.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

2^2920008 is an apocalyptic number.

2920008 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 2920008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

2920008 is an abundant number, since it is smaller than the sum of its proper divisors (6272952).

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

2920008 is a wasteful number, since it uses less digits than its factorization.

2920008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2920008 is about 1708.8030898848. The cubic root of 2920008 is about 142.9315205071.

The spelling of 2920008 in words is "two million, nine hundred twenty thousand, eight".