2017319072 has 48 divisors (see below), whose sum is σ = 4259576160. Its totient is φ = 937527552.

The previous prime is 2017319027. The next prime is 2017319077. The reversal of 2017319072 is 2709137102.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2017319077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 923 + ... + 63525.

It is an arithmetic number, because the mean of its divisors is an integer number (88741170).

Almost surely, 2^2017319072 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 2017319072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129788080).

2017319072 is an abundant number, since it is smaller than the sum of its proper divisors (2242257088).

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

2017319072 is a wasteful number, since it uses less digits than its factorization.

2017319072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62685 (or 62677 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 2017319072 is about 44914.5752735123. The cubic root of 2017319072 is about 1263.5473797360.

The spelling of 2017319072 in words is "two billion, seventeen million, three hundred nineteen thousand, seventy-two".