2004756480 has 240 divisors, whose sum is σ = 7188641460. Its totient is φ = 534380544.

The previous prime is 2004756469. The next prime is 2004756487. The reversal of 2004756480 is 846574002.

2004756480 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 7 + 5 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1891206144 + 113550336 = 43488^2 + 10656^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2004756487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 828232 + ... + 830648.

Almost surely, 2^2004756480 is an apocalyptic number.

2004756480 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 2004756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594320730).

2004756480 is an abundant number, since it is smaller than the sum of its proper divisors (5183884980).

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

2004756480 is an equidigital number, since it uses as much as digits as its factorization.

2004756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2004756480 is about 44774.5070324621. The cubic root of 2004756480 is about 1260.9190573580.

The spelling of 2004756480 in words is "two billion, four million, seven hundred fifty-six thousand, four hundred eighty".