2961560289280 has 180 divisors, whose sum is σ = 7344394069320. Its totient is φ = 1146379960320.

The previous prime is 2961560289269. The next prime is 2961560289299. The reversal of 2961560289280 is 829820651692.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 78706311 + ... + 78743929.

It is an arithmetic number, because the mean of its divisors is an integer number (40802189274).

Almost surely, 2^{2961560289280} is an apocalyptic number.

2961560289280 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 2961560289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672197034660).

2961560289280 is an abundant number, since it is smaller than the sum of its proper divisors (4382833780040).

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

2961560289280 is an frugal number, since it uses more digits than its factorization.

2961560289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37714 (or 37657 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 2961560289280 in words is "two trillion, nine hundred sixty-one billion, five hundred sixty million, two hundred eighty-nine thousand, two hundred eighty".