2003416282560 has 1344 divisors, whose sum is σ = 8499443097600. Its totient is φ = 390244884480.

The previous prime is 2003416282499. The next prime is 2003416282601. The reversal of 2003416282560 is 652826143002.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1591275211 + ... + 1591276469.

It is an arithmetic number, because the mean of its divisors is an integer number (6323990400).

Almost surely, 2^{2003416282560} is an apocalyptic number.

2003416282560 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 2003416282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249721548800).

2003416282560 is an abundant number, since it is smaller than the sum of its proper divisors (6496026815040).

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

2003416282560 is a wasteful number, since it uses less digits than its factorization.

2003416282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 2003416282560 in words is "two trillion, three billion, four hundred sixteen million, two hundred eighty-two thousand, five hundred sixty".