2014263328 has 96 divisors (see below), whose sum is σ = 4955368320. Its totient is φ = 782991360.

The previous prime is 2014263323. The next prime is 2014263379. The reversal of 2014263328 is 8233624102.

It is a self number, because there is not a number n which added to its sum of digits gives 2014263328.

It is not an unprimeable number, because it can be changed into a prime (2014263323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1746400 + ... + 1747552.

It is an arithmetic number, because the mean of its divisors is an integer number (51618420).

Almost surely, 2^2014263328 is an apocalyptic number.

2014263328 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 2014263328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477684160).

2014263328 is an abundant number, since it is smaller than the sum of its proper divisors (2941104992).

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

2014263328 is a wasteful number, since it uses less digits than its factorization.

2014263328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2014263328 is about 44880.5450947290. The cubic root of 2014263328 is about 1262.9090691272.

The spelling of 2014263328 in words is "two billion, fourteen million, two hundred sixty-three thousand, three hundred twenty-eight".