2956631616 has 84 divisors (see below), whose sum is σ = 8494513872. Its totient is φ = 983234304.

The previous prime is 2956631611. The next prime is 2956631641. The reversal of 2956631616 is 6161366592.

2956631616 is a `hidden beast` number, since 2 + 9 + 5 + 6 + 631 + 6 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2956631611) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 249375 + ... + 260961.

Almost surely, 2^2956631616 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 2956631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247256936).

2956631616 is an abundant number, since it is smaller than the sum of its proper divisors (5537882256).

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

2956631616 is a wasteful number, since it uses less digits than its factorization.

2956631616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12048 (or 12035 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 2956631616 is about 54374.9171585576. The cubic root of 2956631616 is about 1435.2660282893.

The spelling of 2956631616 in words is "two billion, nine hundred fifty-six million, six hundred thirty-one thousand, six hundred sixteen".