2564948743680 has 320 divisors, whose sum is σ = 8453139678720. Its totient is φ = 663173922816.

The previous prime is 2564948743673. The next prime is 2564948743691. The reversal of 2564948743680 is 863478494652.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2564948743680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 33038989 + ... + 33116531.

It is an arithmetic number, because the mean of its divisors is an integer number (26416061496).

Almost surely, 2^{2564948743680} is an apocalyptic number.

2564948743680 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 2564948743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226569839360).

2564948743680 is an abundant number, since it is smaller than the sum of its proper divisors (5888190935040).

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

2564948743680 is an equidigital number, since it uses as much as digits as its factorization.

2564948743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77701 (or 77685 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 66.

The spelling of 2564948743680 in words is "two trillion, five hundred sixty-four billion, nine hundred forty-eight million, seven hundred forty-three thousand, six hundred eighty".