2803449972960 has 768 divisors, whose sum is σ = 12085471641600. Its totient is φ = 591052972032.

The previous prime is 2803449972907. The next prime is 2803449972971. The reversal of 2803449972960 is 692799443082.

2803449972960 is a `hidden beast` number, since 2 + 80 + 3 + 4 + 499 + 7 + 2 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 973756801 + ... + 973759679.

It is an arithmetic number, because the mean of its divisors is an integer number (15736291200).

Almost surely, 2^{2803449972960} is an apocalyptic number.

2803449972960 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 2803449972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042735820800).

2803449972960 is an abundant number, since it is smaller than the sum of its proper divisors (9282021668640).

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

2803449972960 is a wasteful number, since it uses less digits than its factorization.

2803449972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 2803449972960 in words is "two trillion, eight hundred three billion, four hundred forty-nine million, nine hundred seventy-two thousand, nine hundred sixty".