2006490144 has 192 divisors, whose sum is σ = 5779372032. Its totient is φ = 607027200.

The previous prime is 2006490107. The next prime is 2006490149. The reversal of 2006490144 is 4410946002.

It is not an unprimeable number, because it can be changed into a prime (2006490149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10505089 + ... + 10505279.

It is an arithmetic number, because the mean of its divisors is an integer number (30100896).

Almost surely, 2^2006490144 is an apocalyptic number.

2006490144 is a gapful number since it is divisible by the number (24) 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 2006490144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889686016).

2006490144 is an abundant number, since it is smaller than the sum of its proper divisors (3772881888).

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

2006490144 is a wasteful number, since it uses less digits than its factorization.

2006490144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2006490144 is about 44793.8627939141. The cubic root of 2006490144 is about 1261.2824232107.

The spelling of 2006490144 in words is "two billion, six million, four hundred ninety thousand, one hundred forty-four".