2146689000 has 256 divisors, whose sum is σ = 7619040000. Its totient is φ = 559137600.

The previous prime is 2146688993. The next prime is 2146689037. The reversal of 2146689000 is 9866412.

The cubic root of 2146689000 is 1290.

It is a perfect power (a cube), and thus also a powerful number.

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

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, 49922979 + ... + 49923021.

It is an arithmetic number, because the mean of its divisors is an integer number (29761875).

Almost surely, 2^2146689000 is an apocalyptic number.

2146689000 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 2146689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809520000).

2146689000 is an abundant number, since it is smaller than the sum of its proper divisors (5472351000).

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

2146689000 is an frugal number, since it uses more digits than its factorization.

2146689000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2146689000 is about 46332.3752898554.

The spelling of 2146689000 in words is "two billion, one hundred forty-six million, six hundred eighty-nine thousand".