2010801656448 has 896 divisors, whose sum is σ = 6828080474880. Its totient is φ = 584918433792.

The previous prime is 2010801656431. The next prime is 2010801656473. The reversal of 2010801656448 is 8446561080102.

It is a happy number.

2010801656448 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 80 + 1 + 6 + 564 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2706327565 + ... + 2706328307.

It is an arithmetic number, because the mean of its divisors is an integer number (7620625530).

Almost surely, 2^{2010801656448} 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 2010801656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414040237440).

2010801656448 is an abundant number, since it is smaller than the sum of its proper divisors (4817278818432).

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

2010801656448 is an equidigital number, since it uses as much as digits as its factorization.

2010801656448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2010801656448 in words is "two trillion, ten billion, eight hundred one million, six hundred fifty-six thousand, four hundred forty-eight".