2825172168 has 256 divisors, whose sum is σ = 9253171200. Its totient is φ = 697973760.

The previous prime is 2825172143. The next prime is 2825172211. The reversal of 2825172168 is 8612715282.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4273758 + ... + 4274418.

It is an arithmetic number, because the mean of its divisors is an integer number (36145200).

Almost surely, 2^2825172168 is an apocalyptic number.

2825172168 is a gapful number since it is divisible by the number (28) 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 2825172168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626585600).

2825172168 is an abundant number, since it is smaller than the sum of its proper divisors (6427999032).

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

2825172168 is a wasteful number, since it uses less digits than its factorization.

2825172168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 808 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 2825172168 is about 53152.3486593020. The cubic root of 2825172168 is about 1413.6708613485.

The spelling of 2825172168 in words is "two billion, eight hundred twenty-five million, one hundred seventy-two thousand, one hundred sixty-eight".