2151716000 has 96 divisors (see below), whose sum is σ = 6042097152. Its totient is φ = 737721600.

The previous prime is 2151715991. The next prime is 2151716023. The reversal of 2151716000 is 6171512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10424 + ... + 66423.

It is an arithmetic number, because the mean of its divisors is an integer number (62938512).

Almost surely, 2^2151716000 is an apocalyptic number.

2151716000 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 2151716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021048576).

2151716000 is an abundant number, since it is smaller than the sum of its proper divisors (3890381152).

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

2151716000 is an equidigital number, since it uses as much as digits as its factorization.

2151716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76879 (or 76861 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 2151716000 is about 46386.5928906187. The cubic root of 2151716000 is about 1291.0061657175.

Adding to 2151716000 its reverse (6171512), we get a palindrome (2157887512).

The spelling of 2151716000 in words is "two billion, one hundred fifty-one million, seven hundred sixteen thousand".