2217025664 has 64 divisors (see below), whose sum is σ = 5111750400. Its totient is φ = 938096640.

The previous prime is 2217025661. The next prime is 2217025693. The reversal of 2217025664 is 4665207122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2217025661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55124 + ... + 86444.

It is an arithmetic number, because the mean of its divisors is an integer number (79871100).

Almost surely, 2^2217025664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2217025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555875200).

2217025664 is an abundant number, since it is smaller than the sum of its proper divisors (2894724736).

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

2217025664 is an equidigital number, since it uses as much as digits as its factorization.

2217025664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31421 (or 31409 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2217025664 is about 47085.3019954210. The cubic root of 2217025664 is about 1303.9378945919.

The spelling of 2217025664 in words is "two billion, two hundred seventeen million, twenty-five thousand, six hundred sixty-four".