2003546016 has 240 divisors, whose sum is σ = 6396916680. Its totient is φ = 612679680.

The previous prime is 2003546011. The next prime is 2003546021. The reversal of 2003546016 is 6106453002.

2003546016 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 54 + 601 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2003546011) and next prime (2003546021).

It can be written as a sum of positive squares in 4 ways, for example, as 860835600 + 1142710416 = 29340^2 + 33804^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2003546011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1806070 + ... + 1807178.

Almost surely, 2^2003546016 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 2003546016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198458340).

2003546016 is an abundant number, since it is smaller than the sum of its proper divisors (4393370664).

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

2003546016 is a wasteful number, since it uses less digits than its factorization.

2003546016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2003546016 is about 44760.9876566637. The cubic root of 2003546016 is about 1260.6652269577.

Adding to 2003546016 its reverse (6106453002), we get a palindrome (8109999018).

The spelling of 2003546016 in words is "two billion, three million, five hundred forty-six thousand, sixteen".