2014248000 has 448 divisors, whose sum is σ = 7189378560. Its totient is φ = 495616000.

The previous prime is 2014247993. The next prime is 2014248013. The reversal of 2014248000 is 8424102.

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, 22631956 + ... + 22632044.

It is an arithmetic number, because the mean of its divisors is an integer number (16047720).

Almost surely, 2^2014248000 is an apocalyptic number.

2014248000 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 2014248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594689280).

2014248000 is an abundant number, since it is smaller than the sum of its proper divisors (5175130560).

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

2014248000 is a wasteful number, since it uses less digits than its factorization.

2014248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2014248000 is about 44880.3743299897. The cubic root of 2014248000 is about 1262.9058656534.

The spelling of 2014248000 in words is "two billion, fourteen million, two hundred forty-eight thousand".