2190005208 has 128 divisors (see below), whose sum is σ = 6431040000. Its totient is φ = 688611456.

The previous prime is 2190005177. The next prime is 2190005221. The reversal of 2190005208 is 8025000912.

It is a super-3 number, since 3×2190005208³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1078338 + ... + 1080366.

It is an arithmetic number, because the mean of its divisors is an integer number (50242500).

Almost surely, 2^2190005208 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 2190005208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215520000).

2190005208 is an abundant number, since it is smaller than the sum of its proper divisors (4241034792).

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

2190005208 is a wasteful number, since it uses less digits than its factorization.

2190005208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2190005208 is about 46797.4914712317. The cubic root of 2190005208 is about 1298.6188898461.

The spelling of 2190005208 in words is "two billion, one hundred ninety million, five thousand, two hundred eight".