2014379136 has 192 divisors, whose sum is σ = 7227230400. Its totient is φ = 523192320.

The previous prime is 2014379071. The next prime is 2014379201. The reversal of 2014379136 is 6319734102.

2014379136 is a `hidden beast` number, since 201 + 437 + 9 + 13 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2014379071) and next prime (2014379201).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2014379136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77350 + ... + 100058.

It is an arithmetic number, because the mean of its divisors is an integer number (37641825).

Almost surely, 2^2014379136 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 2014379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613615200).

2014379136 is an abundant number, since it is smaller than the sum of its proper divisors (5212851264).

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

2014379136 is a wasteful number, since it uses less digits than its factorization.

2014379136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22747 (or 22732 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2014379136 is about 44881.8352565935. The cubic root of 2014379136 is about 1262.9332718830.

The spelling of 2014379136 in words is "two billion, fourteen million, three hundred seventy-nine thousand, one hundred thirty-six".