2880261762560 has 640 divisors, whose sum is σ = 8856633139200. Its totient is φ = 873818357760.

The previous prime is 2880261762533. The next prime is 2880261762563. The reversal of 2880261762560 is 652671620882.

2880261762560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880261762563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 787170011 + ... + 787173669.

It is an arithmetic number, because the mean of its divisors is an integer number (13838489280).

Almost surely, 2^{2880261762560} is an apocalyptic number.

2880261762560 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 2880261762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428316569600).

2880261762560 is an abundant number, since it is smaller than the sum of its proper divisors (5976371376640).

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

2880261762560 is a wasteful number, since it uses less digits than its factorization.

2880261762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 2880261762560 in words is "two trillion, eight hundred eighty billion, two hundred sixty-one million, seven hundred sixty-two thousand, five hundred sixty".