2004567172256 has 192 divisors, whose sum is σ = 4420872691200. Its totient is φ = 887042534400.

The previous prime is 2004567172253. The next prime is 2004567172369. The reversal of 2004567172256 is 6522717654002.

It is a super-2 number, since 2×2004567172256² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2004567172256.

It is not an unprimeable number, because it can be changed into a prime (2004567172253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120495010 + ... + 1120496798.

It is an arithmetic number, because the mean of its divisors is an integer number (23025378600).

Almost surely, 2^{2004567172256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004567172256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210436345600).

2004567172256 is an abundant number, since it is smaller than the sum of its proper divisors (2416305518944).

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

2004567172256 is a wasteful number, since it uses less digits than its factorization.

2004567172256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 47.

The spelling of 2004567172256 in words is "two trillion, four billion, five hundred sixty-seven million, one hundred seventy-two thousand, two hundred fifty-six".