2872171008 has 320 divisors, whose sum is σ = 9883653120. Its totient is φ = 806547456.

The previous prime is 2872170971. The next prime is 2872171009. The reversal of 2872171008 is 8001712782.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2872171009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6483235 + ... + 6483677.

It is an arithmetic number, because the mean of its divisors is an integer number (30886416).

Almost surely, 2^2872171008 is an apocalyptic number.

2872171008 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 2872171008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941826560).

2872171008 is an abundant number, since it is smaller than the sum of its proper divisors (7011482112).

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

2872171008 is an equidigital number, since it uses as much as digits as its factorization.

2872171008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 2872171008 is about 53592.6394946172. The cubic root of 2872171008 is about 1421.4669439999.

The spelling of 2872171008 in words is "two billion, eight hundred seventy-two million, one hundred seventy-one thousand, eight".