2968160832 has 336 divisors, whose sum is σ = 11090282112. Its totient is φ = 736542720.

The previous prime is 2968160821. The next prime is 2968160851. The reversal of 2968160832 is 2380618692.

2968160832 is a `hidden beast` number, since 2 + 9 + 6 + 8 + 1 + 608 + 32 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889407 + ... + 892737.

It is an arithmetic number, because the mean of its divisors is an integer number (33006792).

Almost surely, 2^2968160832 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 2968160832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545141056).

2968160832 is an abundant number, since it is smaller than the sum of its proper divisors (8122121280).

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

2968160832 is a wasteful number, since it uses less digits than its factorization.

2968160832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2968160832 is about 54480.8299496254. The cubic root of 2968160832 is about 1437.1291879038.

The spelling of 2968160832 in words is "two billion, nine hundred sixty-eight million, one hundred sixty thousand, eight hundred thirty-two".