2170009920 has 448 divisors, whose sum is σ = 7865303040. Its totient is φ = 503193600.

The previous prime is 2170009867. The next prime is 2170009927. The reversal of 2170009920 is 299000712.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2170009927) 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 63 ways as a sum of consecutive naturals, for example, 27468441 + ... + 27468519.

It is an arithmetic number, because the mean of its divisors is an integer number (17556480).

Almost surely, 2^2170009920 is an apocalyptic number.

2170009920 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 2170009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932651520).

2170009920 is an abundant number, since it is smaller than the sum of its proper divisors (5695293120).

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

2170009920 is a wasteful number, since it uses less digits than its factorization.

2170009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 2170009920 is about 46583.3652713069. The cubic root of 2170009920 is about 1294.6545631813.

The spelling of 2170009920 in words is "two billion, one hundred seventy million, nine thousand, nine hundred twenty".