2217561520 has 80 divisors (see below), whose sum is σ = 5304660480. Its totient is φ = 861702912.

The previous prime is 2217561517. The next prime is 2217561569. The reversal of 2217561520 is 251657122.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 520519 + ... + 524761.

It is an arithmetic number, because the mean of its divisors is an integer number (66308256).

Almost surely, 2^2217561520 is an apocalyptic number.

2217561520 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 2217561520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652330240).

2217561520 is an abundant number, since it is smaller than the sum of its proper divisors (3087098960).

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

2217561520 is a wasteful number, since it uses less digits than its factorization.

2217561520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 2217561520 is about 47090.9919198991. The cubic root of 2217561520 is about 1304.0429402348.

The spelling of 2217561520 in words is "two billion, two hundred seventeen million, five hundred sixty-one thousand, five hundred twenty".