2165016000 has 448 divisors, whose sum is σ = 8368588800. Its totient is φ = 492979200.

The previous prime is 2165015999. The next prime is 2165016031. The reversal of 2165016000 is 6105612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8231869 + ... + 8232131.

Almost surely, 2^2165016000 is an apocalyptic number.

2165016000 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 2165016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184294400).

2165016000 is an abundant number, since it is smaller than the sum of its proper divisors (6203572800).

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

2165016000 is an equidigital number, since it uses as much as digits as its factorization.

2165016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2165016000 is about 46529.7324299205. The cubic root of 2165016000 is about 1293.6606556893.

The spelling of 2165016000 in words is "two billion, one hundred sixty-five million, sixteen thousand".