2968496160 has 192 divisors, whose sum is σ = 11249280000. Its totient is φ = 642788352.

The previous prime is 2968496159. The next prime is 2968496161. The reversal of 2968496160 is 616948692.

It is an interprime number because it is at equal distance from previous prime (2968496159) and next prime (2968496161).

It is not an unprimeable number, because it can be changed into a prime (2968496161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40591 + ... + 87089.

It is an arithmetic number, because the mean of its divisors is an integer number (58590000).

Almost surely, 2^2968496160 is an apocalyptic number.

2968496160 is a gapful number since it is divisible by the number (20) 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 2968496160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640000).

2968496160 is an abundant number, since it is smaller than the sum of its proper divisors (8280783840).

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

2968496160 is a wasteful number, since it uses less digits than its factorization.

2968496160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46543 (or 46535 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 2968496160 is about 54483.9073488677. The cubic root of 2968496160 is about 1437.1833057607.

The spelling of 2968496160 in words is "two billion, nine hundred sixty-eight million, four hundred ninety-six thousand, one hundred sixty".