2003364380640 has 1536 divisors, whose sum is σ = 8134705152000. Its totient is φ = 412603269120.

The previous prime is 2003364380593. The next prime is 2003364380681. The reversal of 2003364380640 is 460834633002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7079025939 + ... + 7079026221.

It is an arithmetic number, because the mean of its divisors is an integer number (5296032000).

Almost surely, 2^{2003364380640} is an apocalyptic number.

2003364380640 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 2003364380640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067352576000).

2003364380640 is an abundant number, since it is smaller than the sum of its proper divisors (6131340771360).

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

2003364380640 is a wasteful number, since it uses less digits than its factorization.

2003364380640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 2003364380640 in words is "two trillion, three billion, three hundred sixty-four million, three hundred eighty thousand, six hundred forty".