2210004080 has 120 divisors (see below), whose sum is σ = 5596235568. Its totient is φ = 808833024.

The previous prime is 2210004079. The next prime is 2210004107. The reversal of 2210004080 is 804000122.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1861247 + ... + 1862433.

Almost surely, 2^2210004080 is an apocalyptic number.

2210004080 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 2210004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798117784).

2210004080 is an abundant number, since it is smaller than the sum of its proper divisors (3386231488).

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

2210004080 is a wasteful number, since it uses less digits than its factorization.

2210004080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2210004080 is about 47010.6804885868. The cubic root of 2210004080 is about 1302.5598632969.

The spelling of 2210004080 in words is "two billion, two hundred ten million, four thousand, eighty".