2008303944528 has 160 divisors (see below), whose sum is σ = 6076403942400. Its totient is φ = 559603795968.

The previous prime is 2008303944481. The next prime is 2008303944529. The reversal of 2008303944528 is 8254493038002.

It is a super-2 number, since 2×2008303944528² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008303944529) 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 31 ways as a sum of consecutive naturals, for example, 9415768 + ... + 9626696.

It is an arithmetic number, because the mean of its divisors is an integer number (37977524640).

Almost surely, 2^{2008303944528} is an apocalyptic number.

2008303944528 is a gapful number since it is divisible by the number (28) 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 2008303944528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038201971200).

2008303944528 is an abundant number, since it is smaller than the sum of its proper divisors (4068099997872).

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

2008303944528 is a wasteful number, since it uses less digits than its factorization.

2008303944528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211649 (or 211643 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 2008303944528 in words is "two trillion, eight billion, three hundred three million, nine hundred forty-four thousand, five hundred twenty-eight".