2532205216216 has 128 divisors (see below), whose sum is σ = 5245241702400. Its totient is φ = 1138742438400.

The previous prime is 2532205216213. The next prime is 2532205216217. The reversal of 2532205216216 is 6126125022352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532205216213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1844285706 + ... + 1844287078.

It is an arithmetic number, because the mean of its divisors is an integer number (40978450800).

Almost surely, 2^{2532205216216} is an apocalyptic number.

2532205216216 is a gapful number since it is divisible by the number (26) 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 2532205216216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622620851200).

2532205216216 is an abundant number, since it is smaller than the sum of its proper divisors (2713036486184).

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

2532205216216 is a wasteful number, since it uses less digits than its factorization.

2532205216216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 2532205216216 in words is "two trillion, five hundred thirty-two billion, two hundred five million, two hundred sixteen thousand, two hundred sixteen".