2803081282560 has 1232 divisors, whose sum is σ = 11129757292080. Its totient is φ = 672682475520.

The previous prime is 2803081282549. The next prime is 2803081282577. The reversal of 2803081282560 is 652821803082.

2803081282560 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 0 + 8 + 1 + 2 + 82 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1677377258496 + 1125704024064 = 1295136^2 + 1060992^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1989411136 + ... + 1989412544.

Almost surely, 2^{2803081282560} is an apocalyptic number.

2803081282560 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 2803081282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564878646040).

2803081282560 is an abundant number, since it is smaller than the sum of its proper divisors (8326676009520).

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

2803081282560 is a wasteful number, since it uses less digits than its factorization.

2803081282560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2803081282560 in words is "two trillion, eight hundred three billion, eighty-one million, two hundred eighty-two thousand, five hundred sixty".