2010008 has 64 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 720000.

The previous prime is 2009999. The next prime is 2010017. The reversal of 2010008 is 8000102.

It is an interprime number because it is at equal distance from previous prime (2009999) and next prime (2010017).

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7883 + ... + 8133.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

2^2010008 is an apocalyptic number.

2010008 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 2010008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2010008 is an abundant number, since it is smaller than the sum of its proper divisors (3070312).

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

2010008 is a wasteful number, since it uses less digits than its factorization.

2010008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2010008 is about 1417.7475092554. The cubic root of 2010008 is about 126.2019102536.

The spelling of 2010008 in words is "two million, ten thousand, eight".