2163957120 has 640 divisors, whose sum is σ = 8812188000. Its totient is φ = 504631296.

The previous prime is 2163957091. The next prime is 2163957121. The reversal of 2163957120 is 217593612.

2163957120 is a `hidden beast` number, since 2 + 1 + 63 + 9 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (2163957121) 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, 113892471 + ... + 113892489.

Almost surely, 2^2163957120 is an apocalyptic number.

2163957120 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 2163957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406094000).

2163957120 is an abundant number, since it is smaller than the sum of its proper divisors (6648230880).

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

2163957120 is an equidigital number, since it uses as much as digits as its factorization.

2163957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2163957120 is about 46518.3525073707. The cubic root of 2163957120 is about 1293.4497173286.

The spelling of 2163957120 in words is "two billion, one hundred sixty-three million, nine hundred fifty-seven thousand, one hundred twenty".