2014129152 has 220 divisors, whose sum is σ = 6875791120. Its totient is φ = 575299584.

The previous prime is 2014129147. The next prime is 2014129157. The reversal of 2014129152 is 2519214102.

It is an interprime number because it is at equal distance from previous prime (2014129147) and next prime (2014129157).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2014129157) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 578874 + ... + 582342.

It is an arithmetic number, because the mean of its divisors is an integer number (31253596).

Almost surely, 2^2014129152 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 2014129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437895560).

2014129152 is an abundant number, since it is smaller than the sum of its proper divisors (4861661968).

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

2014129152 is an equidigital number, since it uses as much as digits as its factorization.

2014129152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2014129152 is about 44879.0502573305. The cubic root of 2014129152 is about 1262.8810264763.

The spelling of 2014129152 in words is "two billion, fourteen million, one hundred twenty-nine thousand, one hundred fifty-two".