2163087360 has 432 divisors, whose sum is σ = 8739057600. Its totient is φ = 493387776.

The previous prime is 2163087343. The next prime is 2163087397. The reversal of 2163087360 is 637803612.

It is a happy number.

2163087360 is a `hidden beast` number, since 216 + 3 + 0 + 87 + 360 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4515601 + ... + 4516079.

It is an arithmetic number, because the mean of its divisors is an integer number (20229300).

Almost surely, 2^2163087360 is an apocalyptic number.

2163087360 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 2163087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369528800).

2163087360 is an abundant number, since it is smaller than the sum of its proper divisors (6575970240).

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

2163087360 is a wasteful number, since it uses less digits than its factorization.

2163087360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2163087360 is about 46509.0029994194. The cubic root of 2163087360 is about 1293.2764018822.

The spelling of 2163087360 in words is "two billion, one hundred sixty-three million, eighty-seven thousand, three hundred sixty".