2006144010 has 160 divisors (see below), whose sum is σ = 5837266512. Its totient is φ = 491443200.

The previous prime is 2006143961. The next prime is 2006144011. The reversal of 2006144010 is 104416002.

2006144010 is a `hidden beast` number, since 2 + 0 + 0 + 614 + 40 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 353477601 + 1652666409 = 18801^2 + 40653^2 .

It is a super-2 number, since 2×2006144010² = 8049227577717760200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2006144011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3337710 + ... + 3338310.

Almost surely, 2^2006144010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006144010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918633256).

2006144010 is an abundant number, since it is smaller than the sum of its proper divisors (3831122502).

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

2006144010 is a wasteful number, since it uses less digits than its factorization.

2006144010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2006144010 is about 44789.9989953114. The cubic root of 2006144010 is about 1261.2098922727.

The spelling of 2006144010 in words is "two billion, six million, one hundred forty-four thousand, ten".