2641317448770 has 1728 divisors, whose sum is σ = 10272675778560. Its totient is φ = 463630003200.

The previous prime is 2641317448733. The next prime is 2641317448793. The reversal of 2641317448770 is 778447131462.

It is a happy number.

2641317448770 is a `hidden beast` number, since 2 + 64 + 1 + 31 + 7 + 4 + 487 + 70 = 666.

2641317448770 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 4828733637 + ... + 4828734183.

It is an arithmetic number, because the mean of its divisors is an integer number (5944835520).

Almost surely, 2^{2641317448770} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2641317448770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136337889280).

2641317448770 is an abundant number, since it is smaller than the sum of its proper divisors (7631358329790).

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

2641317448770 is a wasteful number, since it uses less digits than its factorization.

2641317448770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 2641317448770 in words is "two trillion, six hundred forty-one billion, three hundred seventeen million, four hundred forty-eight thousand, seven hundred seventy".