2210290080 has 192 divisors, whose sum is σ = 7272115200. Its totient is φ = 563650560.

The previous prime is 2210290073. The next prime is 2210290091. The reversal of 2210290080 is 800920122.

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 2210290080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1323486 + ... + 1325154.

It is an arithmetic number, because the mean of its divisors is an integer number (37875600).

Almost surely, 2^2210290080 is an apocalyptic number.

2210290080 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 2210290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636057600).

2210290080 is an abundant number, since it is smaller than the sum of its proper divisors (5061825120).

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

2210290080 is a wasteful number, since it uses less digits than its factorization.

2210290080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2210290080 is about 47013.7222521255. The cubic root of 2210290080 is about 1302.6160496263.

The spelling of 2210290080 in words is "two billion, two hundred ten million, two hundred ninety thousand, eighty".