2003395680 has 960 divisors, whose sum is σ = 8851949568. Its totient is φ = 419696640.

The previous prime is 2003395649. The next prime is 2003395697. The reversal of 2003395680 is 865933002.

2003395680 is a `hidden beast` number, since 200 + 3 + 395 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42625417 + ... + 42625463.

Almost surely, 2^2003395680 is an apocalyptic number.

2003395680 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 2003395680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425974784).

2003395680 is an abundant number, since it is smaller than the sum of its proper divisors (6848553888).

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

2003395680 is a wasteful number, since it uses less digits than its factorization.

2003395680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2003395680 is about 44759.3083056474. The cubic root of 2003395680 is about 1260.6336948463.

The spelling of 2003395680 in words is "two billion, three million, three hundred ninety-five thousand, six hundred eighty".