2214511416 has 96 divisors (see below), whose sum is σ = 6470820720. Its totient is φ = 680140800.

The previous prime is 2214511379. The next prime is 2214511417. The reversal of 2214511416 is 6141154122.

It is a self number, because there is not a number n which added to its sum of digits gives 2214511416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214511417) by changing a digit.

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, 598131 + ... + 601821.

Almost surely, 2^2214511416 is an apocalyptic number.

2214511416 is a gapful number since it is divisible by the number (26) 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 2214511416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235410360).

2214511416 is an abundant number, since it is smaller than the sum of its proper divisors (4256309304).

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

2214511416 is a wasteful number, since it uses less digits than its factorization.

2214511416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4350 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 2214511416 is about 47058.5955591537. The cubic root of 2214511416 is about 1303.4447919948. Note that the first 3 decimals are identical.

Adding to 2214511416 its reverse (6141154122), we get a palindrome (8355665538).

The spelling of 2214511416 in words is "two billion, two hundred fourteen million, five hundred eleven thousand, four hundred sixteen".