2014109272 has 64 divisors (see below), whose sum is σ = 4600419840. Its totient is φ = 806976000.

The previous prime is 2014109263. The next prime is 2014109281. The reversal of 2014109272 is 2729014102.

It is an interprime number because it is at equal distance from previous prime (2014109263) and next prime (2014109281).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2014109272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136747 + ... + 150757.

It is an arithmetic number, because the mean of its divisors is an integer number (71881560).

Almost surely, 2^2014109272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014109272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300209920).

2014109272 is an abundant number, since it is smaller than the sum of its proper divisors (2586310568).

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

2014109272 is a wasteful number, since it uses less digits than its factorization.

2014109272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14192 (or 14188 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2014109272 is about 44878.8287725961. The cubic root of 2014109272 is about 1262.8768714701.

The spelling of 2014109272 in words is "two billion, fourteen million, one hundred nine thousand, two hundred seventy-two".