2007116160 has 512 divisors, whose sum is σ = 7858667520. Its totient is φ = 425779200.

The previous prime is 2007116149. The next prime is 2007116161. The reversal of 2007116160 is 616117002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2007116160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007116161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13292085 + ... + 13292235.

It is an arithmetic number, because the mean of its divisors is an integer number (15348960).

Almost surely, 2^2007116160 is an apocalyptic number.

2007116160 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 2007116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929333760).

2007116160 is an abundant number, since it is smaller than the sum of its proper divisors (5851551360).

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

2007116160 is a wasteful number, since it uses less digits than its factorization.

2007116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 2007116160 is about 44800.8499919365. The cubic root of 2007116160 is about 1261.4135810733.

The spelling of 2007116160 in words is "two billion, seven million, one hundred sixteen thousand, one hundred sixty".