2001780144 has 360 divisors, whose sum is σ = 7113659280. Its totient is φ = 520805376.

The previous prime is 2001780133. The next prime is 2001780163. The reversal of 2001780144 is 4410871002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12750114 + ... + 12750270.

Almost surely, 2^2001780144 is an apocalyptic number.

2001780144 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 2001780144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556829640).

2001780144 is an abundant number, since it is smaller than the sum of its proper divisors (5111879136).

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

2001780144 is a wasteful number, since it uses less digits than its factorization.

2001780144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2001780144 is about 44741.2577382442. The cubic root of 2001780144 is about 1260.2947458609.

The spelling of 2001780144 in words is "two billion, one million, seven hundred eighty thousand, one hundred forty-four".