2004147671600 has 240 divisors, whose sum is σ = 5257888548000. Its totient is φ = 733248875520.

The previous prime is 2004147671599. The next prime is 2004147671609. The reversal of 2004147671600 is 61767414002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (2004147671609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79551806 + ... + 79576994.

It is an arithmetic number, because the mean of its divisors is an integer number (21907868950).

Almost surely, 2^{2004147671600} is an apocalyptic number.

2004147671600 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 2004147671600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628944274000).

2004147671600 is an abundant number, since it is smaller than the sum of its proper divisors (3253740876400).

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

2004147671600 is a wasteful number, since it uses less digits than its factorization.

2004147671600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25293 (or 25244 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 2004147671600 in words is "two trillion, four billion, one hundred forty-seven million, six hundred seventy-one thousand, six hundred".