2014893608 has 256 divisors, whose sum is σ = 5229772800. Its totient is φ = 705438720.

The previous prime is 2014893583. The next prime is 2014893611. The reversal of 2014893608 is 8063984102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15865241 + ... + 15865367.

It is an arithmetic number, because the mean of its divisors is an integer number (20428800).

Almost surely, 2^2014893608 is an apocalyptic number.

2014893608 is a gapful number since it is divisible by the number (28) 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 2014893608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614886400).

2014893608 is an abundant number, since it is smaller than the sum of its proper divisors (3214879192).

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

2014893608 is a wasteful number, since it uses less digits than its factorization.

2014893608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 2014893608 is about 44887.5662962473. The cubic root of 2014893608 is about 1263.0407803601.

The spelling of 2014893608 in words is "two billion, fourteen million, eight hundred ninety-three thousand, six hundred eight".