2961354816 has 280 divisors, whose sum is σ = 10169265920. Its totient is φ = 834582528.

The previous prime is 2961354787. The next prime is 2961354817. The reversal of 2961354816 is 6184531692.

2961354816 is a `hidden beast` number, since 2 + 96 + 1 + 3 + 548 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (2961354817) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2866236 + ... + 2867268.

Almost surely, 2^2961354816 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 2961354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084632960).

2961354816 is an abundant number, since it is smaller than the sum of its proper divisors (7207911104).

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

2961354816 is a wasteful number, since it uses less digits than its factorization.

2961354816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1124 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2961354816 is about 54418.3316172041. The cubic root of 2961354816 is about 1436.0298977592.

The spelling of 2961354816 in words is "two billion, nine hundred sixty-one million, three hundred fifty-four thousand, eight hundred sixteen".