2014468800 has 336 divisors, whose sum is σ = 7020836352. Its totient is φ = 504627200.

The previous prime is 2014468769. The next prime is 2014468829. The reversal of 2014468800 is 88644102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7838272 + ... + 7838528.

Almost surely, 2^2014468800 is an apocalyptic number.

2014468800 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 2014468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510418176).

2014468800 is an abundant number, since it is smaller than the sum of its proper divisors (5006367552).

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

2014468800 is a wasteful number, since it uses less digits than its factorization.

2014468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2014468800 is about 44882.8341351123. The cubic root of 2014468800 is about 1262.9520101577.

The spelling of 2014468800 in words is "two billion, fourteen million, four hundred sixty-eight thousand, eight hundred".