2190250080 has 432 divisors, whose sum is σ = 8387804880. Its totient is φ = 518897664.

The previous prime is 2190250031. The next prime is 2190250129. The reversal of 2190250080 is 800520912.

It is an interprime number because it is at equal distance from previous prime (2190250031) and next prime (2190250129).

It is a super-6 number, since 6×2190250080⁶ (a number of 57 digits) contains 666666 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7906902 + ... + 7907178.

It is an arithmetic number, because the mean of its divisors is an integer number (19416215).

Almost surely, 2^2190250080 is an apocalyptic number.

2190250080 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 2190250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193902440).

2190250080 is an abundant number, since it is smaller than the sum of its proper divisors (6197554800).

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

2190250080 is a wasteful number, since it uses less digits than its factorization.

2190250080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 323 counting only the distinct ones).

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

The square root of 2190250080 is about 46800.1076921838. The cubic root of 2190250080 is about 1298.6672890542.

Adding to 2190250080 its reverse (800520912), we get a palindrome (2990770992).

The spelling of 2190250080 in words is "two billion, one hundred ninety million, two hundred fifty thousand, eighty".