2216510961024 has 128 divisors (see below), whose sum is σ = 5942747541600. Its totient is φ = 731924135936.

The previous prime is 2216510961001. The next prime is 2216510961061. The reversal of 2216510961024 is 4201690156122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 92369572 + ... + 92393564.

Almost surely, 2^{2216510961024} is an apocalyptic number.

2216510961024 is a gapful number since it is divisible by the number (24) 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 2216510961024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971373770800).

2216510961024 is an abundant number, since it is smaller than the sum of its proper divisors (3726236580576).

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

2216510961024 is a wasteful number, since it uses less digits than its factorization.

2216510961024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26252 (or 26240 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 2216510961024 in words is "two trillion, two hundred sixteen billion, five hundred ten million, nine hundred sixty-one thousand, twenty-four".