2176320960 has 560 divisors, whose sum is σ = 8962034400. Its totient is φ = 495452160.

The previous prime is 2176320917. The next prime is 2176320967. The reversal of 2176320960 is 690236712.

2176320960 is a `hidden beast` number, since 2 + 17 + 632 + 0 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2176320967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4846816 + ... + 4847264.

Almost surely, 2^2176320960 is an apocalyptic number.

2176320960 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 2176320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481017200).

2176320960 is an abundant number, since it is smaller than the sum of its proper divisors (6785713440).

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

2176320960 is a wasteful number, since it uses less digits than its factorization.

2176320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2176320960 is about 46651.0552935301. The cubic root of 2176320960 is about 1295.9084297442.

The spelling of 2176320960 in words is "two billion, one hundred seventy-six million, three hundred twenty thousand, nine hundred sixty".