2014582080 has 336 divisors, whose sum is σ = 7526243520. Its totient is φ = 455196672.

The previous prime is 2014582051. The next prime is 2014582139. The reversal of 2014582080 is 802854102.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 5315331 + ... + 5315709.

Almost surely, 2^2014582080 is an apocalyptic number.

2014582080 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 2014582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763121760).

2014582080 is an abundant number, since it is smaller than the sum of its proper divisors (5511661440).

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

2014582080 is a wasteful number, since it uses less digits than its factorization.

2014582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 2014582080 is about 44884.0960697662. The cubic root of 2014582080 is about 1262.9756829860.

The spelling of 2014582080 in words is "two billion, fourteen million, five hundred eighty-two thousand, eighty".