2142008 has 32 divisors (see below), whose sum is σ = 4443120. Its totient is φ = 960000.

The previous prime is 2142001. The next prime is 2142029. The reversal of 2142008 is 8002412.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142001) 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, 8768 + ... + 9008.

2^2142008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221560).

2142008 is an abundant number, since it is smaller than the sum of its proper divisors (2301112).

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

2142008 is a wasteful number, since it uses less digits than its factorization.

2142008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2142008 is about 1463.5600431824. The cubic root of 2142008 is about 128.9061673670.

It can be divided in two parts, 214 and 2008, that added together give a palindrome (2222).

The spelling of 2142008 in words is "two million, one hundred forty-two thousand, eight".