2107160064 has 240 divisors, whose sum is σ = 6622263648. Its totient is φ = 642318336.

The previous prime is 2107160017. The next prime is 2107160087. The reversal of 2107160064 is 4600617012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2898069 + ... + 2898795.

Almost surely, 2^2107160064 is an apocalyptic number.

2107160064 is a gapful number since it is divisible by the number (24) 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 2107160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311131824).

2107160064 is an abundant number, since it is smaller than the sum of its proper divisors (4515103584).

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

2107160064 is a wasteful number, since it uses less digits than its factorization.

2107160064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2107160064 is about 45903.8131749422. The cubic root of 2107160064 is about 1282.0329154169.

Adding to 2107160064 its reverse (4600617012), we get a palindrome (6707777076).

The spelling of 2107160064 in words is "two billion, one hundred seven million, one hundred sixty thousand, sixty-four".