2216976480 has 336 divisors, whose sum is σ = 7982135280. Its totient is φ = 581520384.

The previous prime is 2216976451. The next prime is 2216976481. The reversal of 2216976480 is 846796122.

It is a happy number.

2216976480 is a `hidden beast` number, since 2 + 2 + 169 + 7 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216976481) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9681006 + ... + 9681234.

It is an arithmetic number, because the mean of its divisors is an integer number (23756355).

Almost surely, 2^2216976480 is an apocalyptic number.

2216976480 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 2216976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991067640).

2216976480 is an abundant number, since it is smaller than the sum of its proper divisors (5765158800).

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

2216976480 is an equidigital number, since it uses as much as digits as its factorization.

2216976480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2216976480 is about 47084.7797063977. The cubic root of 2216976480 is about 1303.9282520400.

The spelling of 2216976480 in words is "two billion, two hundred sixteen million, nine hundred seventy-six thousand, four hundred eighty".