2067061878288 has 400 divisors, whose sum is σ = 6598237060800. Its totient is φ = 619539840000.

The previous prime is 2067061878269. The next prime is 2067061878289. The reversal of 2067061878288 is 8828781607602.

2067061878288 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 0 + 618 + 7 + 8 + 2 + 8 + 8 = 666.

It is a super-3 number, since 3×2067061878288³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2067061878289) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 533158206 + ... + 533162082.

It is an arithmetic number, because the mean of its divisors is an integer number (16495592652).

Almost surely, 2^{2067061878288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067061878288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299118530400).

2067061878288 is an abundant number, since it is smaller than the sum of its proper divisors (4531175182512).

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

2067061878288 is a wasteful number, since it uses less digits than its factorization.

2067061878288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 2067061878288 in words is "two trillion, sixty-seven billion, sixty-one million, eight hundred seventy-eight thousand, two hundred eighty-eight".