2003640768 has 84 divisors (see below), whose sum is σ = 5992813008. Its totient is φ = 638837760.

The previous prime is 2003640707. The next prime is 2003640781. The reversal of 2003640768 is 8670463002.

2003640768 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 640 + 7 + 6 + 8 = 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 11 ways as a sum of consecutive naturals, for example, 62373 + ... + 88868.

It is an arithmetic number, because the mean of its divisors is an integer number (71343012).

Almost surely, 2^2003640768 is an apocalyptic number.

It is an amenable number.

2003640768 is an abundant number, since it is smaller than the sum of its proper divisors (3989172240).

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

2003640768 is a wasteful number, since it uses less digits than its factorization.

2003640768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151282 (or 151269 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2003640768 is about 44762.0460658357. The cubic root of 2003640768 is about 1260.6850998343.

The spelling of 2003640768 in words is "two billion, three million, six hundred forty thousand, seven hundred sixty-eight".