2004963840 has 480 divisors, whose sum is σ = 7882370496. Its totient is φ = 484392960.

The previous prime is 2004963773. The next prime is 2004963841. The reversal of 2004963840 is 483694002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 2004963795 and 2004963804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004963841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6842734 + ... + 6843026.

Almost surely, 2^2004963840 is an apocalyptic number.

2004963840 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 2004963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941185248).

2004963840 is an abundant number, since it is smaller than the sum of its proper divisors (5877406656).

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

2004963840 is an equidigital number, since it uses as much as digits as its factorization.

2004963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2004963840 is about 44776.8225759712. The cubic root of 2004963840 is about 1260.9625298303.

The spelling of 2004963840 in words is "two billion, four million, nine hundred sixty-three thousand, eight hundred forty".