2003288828520 has 192 divisors, whose sum is σ = 6993883310400. Its totient is φ = 457710274560.

The previous prime is 2003288828501. The next prime is 2003288828537. The reversal of 2003288828520 is 258288823002.

It is a super-2 number, since 2×2003288828520² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2003288828520.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14814976 + ... + 14949584.

It is an arithmetic number, because the mean of its divisors is an integer number (36426475575).

Almost surely, 2^{2003288828520} is an apocalyptic number.

2003288828520 is a gapful number since it is divisible by the number (20) 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 2003288828520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496941655200).

2003288828520 is an abundant number, since it is smaller than the sum of its proper divisors (4990594481880).

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

2003288828520 is a wasteful number, since it uses less digits than its factorization.

2003288828520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137168 (or 137157 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 2003288828520 in words is "two trillion, three billion, two hundred eighty-eight million, eight hundred twenty-eight thousand, five hundred twenty".