2631216330 has 192 divisors, whose sum is σ = 7581600000. Its totient is φ = 630153216.

The previous prime is 2631216257. The next prime is 2631216331. The reversal of 2631216330 is 336121362.

It is a happy number.

2631216330 is a `hidden beast` number, since 2 + 6 + 3 + 1 + 21 + 633 + 0 = 666.

2631216330 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 junction number, because it is equal to n+sod(n) for n = 2631216294 and 2631216303.

It is not an unprimeable number, because it can be changed into a prime (2631216331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5859946 + ... + 5860394.

It is an arithmetic number, because the mean of its divisors is an integer number (39487500).

Almost surely, 2^2631216330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631216330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790800000).

2631216330 is an abundant number, since it is smaller than the sum of its proper divisors (4950383670).

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

2631216330 is a wasteful number, since it uses less digits than its factorization.

2631216330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2631216330 is about 51295.3831255796. The cubic root of 2631216330 is about 1380.5501429728.

Adding to 2631216330 its reverse (336121362), we get a palindrome (2967337692).

The spelling of 2631216330 in words is "two billion, six hundred thirty-one million, two hundred sixteen thousand, three hundred thirty".