2949561216 has 768 divisors, whose sum is σ = 11405721600. Its totient is φ = 739031040.

The previous prime is 2949561161. The next prime is 2949561229. The reversal of 2949561216 is 6121659492.

2949561216 is a `hidden beast` number, since 29 + 4 + 9 + 5 + 612 + 1 + 6 = 666.

It is a super-2 number, since 2×2949561216² = 17399822733862797312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95147121 + ... + 95147151.

It is an arithmetic number, because the mean of its divisors is an integer number (14851200).

Almost surely, 2^2949561216 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 2949561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702860800).

2949561216 is an abundant number, since it is smaller than the sum of its proper divisors (8456160384).

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

2949561216 is a wasteful number, since it uses less digits than its factorization.

2949561216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 2949561216 is about 54309.8629716555. The cubic root of 2949561216 is about 1434.1210310829.

The spelling of 2949561216 in words is "two billion, nine hundred forty-nine million, five hundred sixty-one thousand, two hundred sixteen".