2017249920 has 768 divisors, whose sum is σ = 8821612800. Its totient is φ = 429981696.

The previous prime is 2017249919. The next prime is 2017249933. The reversal of 2017249920 is 299427102.

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

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 95 ways as a sum of consecutive naturals, for example, 18506826 + ... + 18506934.

It is an arithmetic number, because the mean of its divisors is an integer number (11486475).

Almost surely, 2^2017249920 is an apocalyptic number.

2017249920 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 2017249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410806400).

2017249920 is an abundant number, since it is smaller than the sum of its proper divisors (6804362880).

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

2017249920 is a wasteful number, since it uses less digits than its factorization.

2017249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2017249920 is about 44913.8054499950. The cubic root of 2017249920 is about 1263.5329417908.

The spelling of 2017249920 in words is "two billion, seventeen million, two hundred forty-nine thousand, nine hundred twenty".