2880753581776 has 180 divisors, whose sum is σ = 6720875415684. Its totient is φ = 1192653665280.

The previous prime is 2880753581737. The next prime is 2880753581779. The reversal of 2880753581776 is 6771853570882.

It can be written as a sum of positive squares in 2 ways, for example, as 488237587600 + 2392515994176 = 698740^2 + 1546776^2 .

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880753581779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 464859510 + ... + 464865706.

Almost surely, 2^{2880753581776} 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 2880753581776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360437707842).

2880753581776 is an abundant number, since it is smaller than the sum of its proper divisors (3840121833908).

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

2880753581776 is a wasteful number, since it uses less digits than its factorization.

2880753581776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6898 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 67.

The spelling of 2880753581776 in words is "two trillion, eight hundred eighty billion, seven hundred fifty-three million, five hundred eighty-one thousand, seven hundred seventy-six".