2071964160 has 480 divisors, whose sum is σ = 8502848640. Its totient is φ = 456228864.

The previous prime is 2071964149. The next prime is 2071964173. The reversal of 2071964160 is 614691702.

2071964160 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 9 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4676899 + ... + 4677341.

It is an arithmetic number, because the mean of its divisors is an integer number (17714268).

Almost surely, 2^2071964160 is an apocalyptic number.

2071964160 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 2071964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251424320).

2071964160 is an abundant number, since it is smaller than the sum of its proper divisors (6430884480).

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

2071964160 is a wasteful number, since it uses less digits than its factorization.

2071964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2071964160 is about 45518.8330254632. The cubic root of 2071964160 is about 1274.8548669865.

The spelling of 2071964160 in words is "two billion, seventy-one million, nine hundred sixty-four thousand, one hundred sixty".