2961903168 has 336 divisors, whose sum is σ = 10203972480. Its totient is φ = 803561472.

The previous prime is 2961903157. The next prime is 2961903173. The reversal of 2961903168 is 8613091692.

It is a happy number.

2961903168 is a `hidden beast` number, since 29 + 619 + 0 + 3 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8535571 + ... + 8535917.

Almost surely, 2^2961903168 is an apocalyptic number.

2961903168 is a gapful number since it is divisible by the number (28) 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 2961903168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101986240).

2961903168 is an abundant number, since it is smaller than the sum of its proper divisors (7242069312).

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

2961903168 is a wasteful number, since it uses less digits than its factorization.

2961903168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2961903168 is about 54423.3696861927. The cubic root of 2961903168 is about 1436.1185285061.

The spelling of 2961903168 in words is "two billion, nine hundred sixty-one million, nine hundred three thousand, one hundred sixty-eight".