2004770476800 has 2430 divisors, whose sum is σ = 9357067507788. Its totient is φ = 422078791680.

The previous prime is 2004770476771. The next prime is 2004770476801. The reversal of 2004770476800 is 86740774002.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2004770476801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 4292870167 + ... + 4292870633.

Almost surely, 2^{2004770476800} is an apocalyptic number.

2004770476800 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 2004770476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678533753894).

2004770476800 is an abundant number, since it is smaller than the sum of its proper divisors (7352297030988).

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

2004770476800 is a wasteful number, since it uses less digits than its factorization.

2004770476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 2004770476800 in words is "two trillion, four billion, seven hundred seventy million, four hundred seventy-six thousand, eight hundred".