2216005440 has 224 divisors, whose sum is σ = 7726167936. Its totient is φ = 533667840.

The previous prime is 2216005439. The next prime is 2216005469. The reversal of 2216005440 is 445006122.

It is a super-2 number, since 2×2216005440² = 9821360220219187200, which contains 22 as substring.

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 2216005440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1826274 + ... + 1827486.

Almost surely, 2^2216005440 is an apocalyptic number.

2216005440 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 2216005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863083968).

2216005440 is an abundant number, since it is smaller than the sum of its proper divisors (5510162496).

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

2216005440 is a wasteful number, since it uses less digits than its factorization.

2216005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2216005440 is about 47074.4669645871. The cubic root of 2216005440 is about 1303.7378498702.

The spelling of 2216005440 in words is "two billion, two hundred sixteen million, five thousand, four hundred forty".