2803472904960 has 1728 divisors, whose sum is σ = 12913165504512. Its totient is φ = 544700104704.

The previous prime is 2803472904901. The next prime is 2803472904979. The reversal of 2803472904960 is 694092743082.

2803472904960 is a `hidden beast` number, since 2 + 8 + 0 + 347 + 290 + 4 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×2803472904960² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2803472904897 and 2803472904906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 837606007 + ... + 837609353.

It is an arithmetic number, because the mean of its divisors is an integer number (7472896704).

Almost surely, 2^{2803472904960} is an apocalyptic number.

2803472904960 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 2803472904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456582752256).

2803472904960 is an abundant number, since it is smaller than the sum of its proper divisors (10109692599552).

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

2803472904960 is a wasteful number, since it uses less digits than its factorization.

2803472904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2803472904960 in words is "two trillion, eight hundred three billion, four hundred seventy-two million, nine hundred four thousand, nine hundred sixty".