2511201216 has 112 divisors (see below), whose sum is σ = 6759244800. Its totient is φ = 822700032.

The previous prime is 2511201197. The next prime is 2511201229. The reversal of 2511201216 is 6121021152.

2511201216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2511201216² = 12612263094479757312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2511201192 and 2511201201.

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, 3810295 + ... + 3810953.

It is an arithmetic number, because the mean of its divisors is an integer number (60350400).

Almost surely, 2^2511201216 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 2511201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379622400).

2511201216 is an abundant number, since it is smaller than the sum of its proper divisors (4248043584).

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

2511201216 is a wasteful number, since it uses less digits than its factorization.

2511201216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 2511201216 is about 50111.8869730526. The cubic root of 2511201216 is about 1359.2327737197.

Adding to 2511201216 its reverse (6121021152), we get a palindrome (8632222368).

The spelling of 2511201216 in words is "two billion, five hundred eleven million, two hundred one thousand, two hundred sixteen".