2216377467360 has 576 divisors, whose sum is σ = 8762989173120. Its totient is φ = 499658342400.

The previous prime is 2216377467319. The next prime is 2216377467383. The reversal of 2216377467360 is 637647736122.

2216377467360 is a `hidden beast` number, since 2 + 21 + 63 + 77 + 467 + 36 + 0 = 666.

It is a super-2 number, since 2×2216377467360² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2216377467297 and 2216377467306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273859474 + ... + 273867566.

It is an arithmetic number, because the mean of its divisors is an integer number (15213522870).

Almost surely, 2^{2216377467360} is an apocalyptic number.

2216377467360 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 2216377467360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381494586560).

2216377467360 is an abundant number, since it is smaller than the sum of its proper divisors (6546611705760).

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

2216377467360 is a wasteful number, since it uses less digits than its factorization.

2216377467360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8491 (or 8480 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 2216377467360 in words is "two trillion, two hundred sixteen billion, three hundred seventy-seven million, four hundred sixty-seven thousand, three hundred sixty".