2163776160 has 192 divisors, whose sum is σ = 8388963072. Its totient is φ = 456523776.

The previous prime is 2163776143. The next prime is 2163776203. The reversal of 2163776160 is 616773612.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18912 + ... + 68448.

It is an arithmetic number, because the mean of its divisors is an integer number (43692516).

Almost surely, 2^2163776160 is an apocalyptic number.

2163776160 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 2163776160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194481536).

2163776160 is an abundant number, since it is smaller than the sum of its proper divisors (6225186912).

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

2163776160 is a wasteful number, since it uses less digits than its factorization.

2163776160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49575 (or 49567 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 2163776160 is about 46516.4074279173. The cubic root of 2163776160 is about 1293.4136615948.

The spelling of 2163776160 in words is "two billion, one hundred sixty-three million, seven hundred seventy-six thousand, one hundred sixty".