2006503488 has 336 divisors, whose sum is σ = 6703429824. Its totient is φ = 589731840.

The previous prime is 2006503481. The next prime is 2006503519. The reversal of 2006503488 is 8843056002.

It is a super-2 number, since 2×2006503488² = 8052112494712332288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006503481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6329506 + ... + 6329822.

It is an arithmetic number, because the mean of its divisors is an integer number (19950684).

Almost surely, 2^2006503488 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 2006503488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351714912).

2006503488 is an abundant number, since it is smaller than the sum of its proper divisors (4696926336).

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

2006503488 is a wasteful number, since it uses less digits than its factorization.

2006503488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2006503488 is about 44794.0117426426. The cubic root of 2006503488 is about 1261.2852192233.

The spelling of 2006503488 in words is "two billion, six million, five hundred three thousand, four hundred eighty-eight".