2003073701340 has 96 divisors (see below), whose sum is σ = 5647005000000. Its totient is φ = 530496940032.

The previous prime is 2003073701327. The next prime is 2003073701341. The reversal of 2003073701340 is 431073703002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2003073701298 and 2003073701307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003073701341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123265536 + ... + 123281784.

It is an arithmetic number, because the mean of its divisors is an integer number (58822968750).

Almost surely, 2^{2003073701340} is an apocalyptic number.

2003073701340 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 2003073701340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823502500000).

2003073701340 is an abundant number, since it is smaller than the sum of its proper divisors (3643931298660).

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

2003073701340 is a wasteful number, since it uses less digits than its factorization.

2003073701340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30199 (or 30197 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The spelling of 2003073701340 in words is "two trillion, three billion, seventy-three million, seven hundred one thousand, three hundred forty".