2961399168 has 576 divisors, whose sum is σ = 11006966880. Its totient is φ = 747601920.

The previous prime is 2961399163. The next prime is 2961399173. The reversal of 2961399168 is 8619931692.

2961399168 is a `hidden beast` number, since 2 + 9 + 613 + 9 + 9 + 16 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2961399163) and next prime (2961399173).

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961399163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55875430 + ... + 55875482.

Almost surely, 2^2961399168 is an apocalyptic number.

2961399168 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 2961399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503483440).

2961399168 is an abundant number, since it is smaller than the sum of its proper divisors (8045567712).

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

2961399168 is a wasteful number, since it uses less digits than its factorization.

2961399168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 2961399168 is about 54418.7391254152. The cubic root of 2961399168 is about 1436.0370668292.

The spelling of 2961399168 in words is "two billion, nine hundred sixty-one million, three hundred ninety-nine thousand, one hundred sixty-eight".