2217581280 has 384 divisors, whose sum is σ = 8302694400. Its totient is φ = 551577600.

The previous prime is 2217581239. The next prime is 2217581281. The reversal of 2217581280 is 821857122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2217581281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3883395 + ... + 3883965.

It is an arithmetic number, because the mean of its divisors is an integer number (21621600).

Almost surely, 2^2217581280 is an apocalyptic number.

2217581280 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 2217581280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151347200).

2217581280 is an abundant number, since it is smaller than the sum of its proper divisors (6085113120).

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

2217581280 is a wasteful number, since it uses less digits than its factorization.

2217581280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 2217581280 is about 47091.2017260125. The cubic root of 2217581280 is about 1304.0468135301.

The spelling of 2217581280 in words is "two billion, two hundred seventeen million, five hundred eighty-one thousand, two hundred eighty".