2003260546560 has 1280 divisors, whose sum is σ = 8431884324864. Its totient is φ = 393700442112.

The previous prime is 2003260546541. The next prime is 2003260546561. The reversal of 2003260546560 is 656450623002.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003260546561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1223738062 + ... + 1223739698.

Almost surely, 2^{2003260546560} is an apocalyptic number.

2003260546560 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 2003260546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215942162432).

2003260546560 is an abundant number, since it is smaller than the sum of its proper divisors (6428623778304).

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

2003260546560 is a wasteful number, since it uses less digits than its factorization.

2003260546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 2003260546560 in words is "two trillion, three billion, two hundred sixty million, five hundred forty-six thousand, five hundred sixty".