2117016000 has 672 divisors, whose sum is σ = 8642786880. Its totient is φ = 513216000.

The previous prime is 2117015981. The next prime is 2117016029. The reversal of 2117016000 is 6107112.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192455995 + ... + 192456005.

It is an arithmetic number, because the mean of its divisors is an integer number (12861290).

Almost surely, 2^2117016000 is an apocalyptic number.

2117016000 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 2117016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321393440).

2117016000 is an abundant number, since it is smaller than the sum of its proper divisors (6525770880).

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

2117016000 is an frugal number, since it uses more digits than its factorization.

2117016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 2117016000 is about 46011.0421529441. The cubic root of 2117016000 is about 1284.0286481511.

The spelling of 2117016000 in words is "two billion, one hundred seventeen million, sixteen thousand".