2880319925760 has 960 divisors, whose sum is σ = 10141207921152. Its totient is φ = 695689150464.

The previous prime is 2880319925759. The next prime is 2880319925831. The reversal of 2880319925760 is 675299130882.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2880319925694 and 2880319925703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10398266742 + ... + 10398267018.

Almost surely, 2^{2880319925760} is an apocalyptic number.

2880319925760 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 2880319925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070603960576).

2880319925760 is an abundant number, since it is smaller than the sum of its proper divisors (7260887995392).

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

2880319925760 is a wasteful number, since it uses less digits than its factorization.

2880319925760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 2880319925760 in words is "two trillion, eight hundred eighty billion, three hundred nineteen million, nine hundred twenty-five thousand, seven hundred sixty".