2014166000 has 480 divisors, whose sum is σ = 6483335040. Its totient is φ = 591360000.

The previous prime is 2014165999. The next prime is 2014166027. The reversal of 2014166000 is 6614102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49125980 + ... + 49126020.

It is an arithmetic number, because the mean of its divisors is an integer number (13506948).

Almost surely, 2^2014166000 is an apocalyptic number.

2014166000 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 2014166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241667520).

2014166000 is an abundant number, since it is smaller than the sum of its proper divisors (4469169040).

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

2014166000 is a wasteful number, since it uses less digits than its factorization.

2014166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2014166000 is about 44879.4607810745. The cubic root of 2014166000 is about 1262.8887277958. Note that the first 3 decimals are identical.

The spelling of 2014166000 in words is "two billion, fourteen million, one hundred sixty-six thousand".