2511221216 has 96 divisors (see below), whose sum is σ = 5853173760. Its totient is φ = 1037836800.

The previous prime is 2511221161. The next prime is 2511221227. The reversal of 2511221216 is 6121221152.

It is a junction number, because it is equal to n+sod(n) for n = 2511221191 and 2511221200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2922995 + ... + 2923853.

It is an arithmetic number, because the mean of its divisors is an integer number (60970560).

Almost surely, 2^2511221216 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 2511221216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926586880).

2511221216 is an abundant number, since it is smaller than the sum of its proper divisors (3341952544).

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

2511221216 is a wasteful number, since it uses less digits than its factorization.

2511221216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1320 counting only the distinct ones).

The product of its digits is 480, while the sum is 23.

The square root of 2511221216 is about 50112.0865261067. The cubic root of 2511221216 is about 1359.2363821633.

Adding to 2511221216 its reverse (6121221152), we get a palindrome (8632442368).

The spelling of 2511221216 in words is "two billion, five hundred eleven million, two hundred twenty-one thousand, two hundred sixteen".