2170208040 has 768 divisors, whose sum is σ = 9307872000. Its totient is φ = 397393920.

The previous prime is 2170207999. The next prime is 2170208057. The reversal of 2170208040 is 408020712.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2170208040.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24384316 + ... + 24384404.

It is an arithmetic number, because the mean of its divisors is an integer number (12119625).

Almost surely, 2^2170208040 is an apocalyptic number.

2170208040 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 2170208040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653936000).

2170208040 is an abundant number, since it is smaller than the sum of its proper divisors (7137663960).

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

2170208040 is a wasteful number, since it uses less digits than its factorization.

2170208040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2170208040 is about 46585.4917329419. The cubic root of 2170208040 is about 1294.6939622572.

Adding to 2170208040 its reverse (408020712), we get a palindrome (2578228752).

The spelling of 2170208040 in words is "two billion, one hundred seventy million, two hundred eight thousand, forty".