2007968160 has 192 divisors, whose sum is σ = 6979271040. Its totient is φ = 481198080.

The previous prime is 2007968159. The next prime is 2007968161. The reversal of 2007968160 is 618697002.

It is an interprime number because it is at equal distance from previous prime (2007968159) and next prime (2007968161).

It is a super-2 number, since 2×2007968160² = 8063872263147571200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2007968161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467784 + ... + 472056.

It is an arithmetic number, because the mean of its divisors is an integer number (36350370).

Almost surely, 2^2007968160 is an apocalyptic number.

2007968160 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 2007968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489635520).

2007968160 is an abundant number, since it is smaller than the sum of its proper divisors (4971302880).

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

2007968160 is a wasteful number, since it uses less digits than its factorization.

2007968160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2007968160 is about 44810.3577312210. The cubic root of 2007968160 is about 1261.5920414864.

The spelling of 2007968160 in words is "two billion, seven million, nine hundred sixty-eight thousand, one hundred sixty".