2004206976000 has 1760 divisors, whose sum is σ = 8062295072832. Its totient is φ = 493328793600.

The previous prime is 2004206975993. The next prime is 2004206976007. The reversal of 2004206976000 is 6796024002.

It is a happy number.

2004206976000 is a `hidden beast` number, since 2 + 0 + 0 + 42 + 0 + 6 + 9 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2004206975993) and next prime (2004206976007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004206976007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14629247932 + ... + 14629248068.

Almost surely, 2^{2004206976000} is an apocalyptic number.

2004206976000 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 2004206976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031147536416).

2004206976000 is an abundant number, since it is smaller than the sum of its proper divisors (6058088096832).

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

2004206976000 is a wasteful number, since it uses less digits than its factorization.

2004206976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 2004206976000 in words is "two trillion, four billion, two hundred six million, nine hundred seventy-six thousand".