2066835139200 has 2688 divisors, whose sum is σ = 9231843499200. Its totient is φ = 451480780800.

The previous prime is 2066835139147. The next prime is 2066835139231. The reversal of 2066835139200 is 29315386602.

2066835139200 is a `hidden beast` number, since 2 + 0 + 6 + 68 + 351 + 39 + 200 = 666.

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

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 335 ways as a sum of consecutive naturals, for example, 9795427095 + ... + 9795427305.

Almost surely, 2^{2066835139200} is an apocalyptic number.

2066835139200 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 2066835139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615921749600).

2066835139200 is an abundant number, since it is smaller than the sum of its proper divisors (7165008360000).

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

2066835139200 is a wasteful number, since it uses less digits than its factorization.

2066835139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 2066835139200 in words is "two trillion, sixty-six billion, eight hundred thirty-five million, one hundred thirty-nine thousand, two hundred".