2066795077248 has 384 divisors, whose sum is σ = 6735078604800. Its totient is φ = 625679354880.

The previous prime is 2066795077241. The next prime is 2066795077279. The reversal of 2066795077248 is 8427705976602.

2066795077248 is a `hidden beast` number, since 20 + 6 + 67 + 9 + 507 + 7 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2066795077241) 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, 437599815 + ... + 437604537.

It is an arithmetic number, because the mean of its divisors is an integer number (17539267200).

Almost surely, 2^{2066795077248} 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 2066795077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367539302400).

2066795077248 is an abundant number, since it is smaller than the sum of its proper divisors (4668283527552).

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

2066795077248 is a wasteful number, since it uses less digits than its factorization.

2066795077248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6042 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 2066795077248 in words is "two trillion, sixty-six billion, seven hundred ninety-five million, seventy-seven thousand, two hundred forty-eight".