2014446000 has 160 divisors (see below), whose sum is σ = 7422524928. Its totient is φ = 460435200.

The previous prime is 2014445971. The next prime is 2014446001. The reversal of 2014446000 is 6444102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2014446001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18019 + ... + 65981.

Almost surely, 2^2014446000 is an apocalyptic number.

2014446000 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 2014446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711262464).

2014446000 is an abundant number, since it is smaller than the sum of its proper divisors (5408078928).

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

2014446000 is a wasteful number, since it uses less digits than its factorization.

2014446000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47996 (or 47980 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2014446000 is about 44882.5801397380. The cubic root of 2014446000 is about 1262.9472453922.

The spelling of 2014446000 in words is "two billion, fourteen million, four hundred forty-six thousand".