2128167000 has 384 divisors, whose sum is σ = 7764120000. Its totient is φ = 539193600.

The previous prime is 2128166941. The next prime is 2128167031. The reversal of 2128167000 is 7618212.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 14282926 + ... + 14283074.

Almost surely, 2^2128167000 is an apocalyptic number.

2128167000 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 2128167000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882060000).

2128167000 is an abundant number, since it is smaller than the sum of its proper divisors (5635953000).

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

2128167000 is a wasteful number, since it uses less digits than its factorization.

2128167000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2128167000 is about 46132.0604352331. The cubic root of 2128167000 is about 1286.2791644825.

The spelling of 2128167000 in words is "two billion, one hundred twenty-eight million, one hundred sixty-seven thousand".