2066504108400 has 300 divisors, whose sum is σ = 7852785237792. Its totient is φ = 518651873280.

The previous prime is 2066504108363. The next prime is 2066504108437. The reversal of 2066504108400 is 48014056602.

2066504108400 is a `hidden beast` number, since 2 + 0 + 6 + 6 + 504 + 108 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2066504108363) and next prime (2066504108437).

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1325112 + ... + 2426711.

Almost surely, 2^{2066504108400} is an apocalyptic number.

2066504108400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2066504108400 is an abundant number, since it is smaller than the sum of its proper divisors (5786281129392).

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

2066504108400 is a wasteful number, since it uses less digits than its factorization.

2066504108400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751870 (or 3751850 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 2066504108400 in words is "two trillion, sixty-six billion, five hundred four million, one hundred eight thousand, four hundred".