2003408640 has 504 divisors, whose sum is σ = 7640594640. Its totient is φ = 501645312.

The previous prime is 2003408587. The next prime is 2003408647. The reversal of 2003408640 is 468043002.

2003408640 is a `hidden beast` number, since 200 + 340 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003408647) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17729224 + ... + 17729336.

It is an arithmetic number, because the mean of its divisors is an integer number (15159910).

Almost surely, 2^2003408640 is an apocalyptic number.

2003408640 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 2003408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820297320).

2003408640 is an abundant number, since it is smaller than the sum of its proper divisors (5637186000).

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

2003408640 is an equidigital number, since it uses as much as digits as its factorization.

2003408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2003408640 is about 44759.4530797685. The cubic root of 2003408640 is about 1260.6364131939.

The spelling of 2003408640 in words is "two billion, three million, four hundred eight thousand, six hundred forty".