2134115424 has 252 divisors, whose sum is σ = 7331830884. Its totient is φ = 609420672.

The previous prime is 2134115419. The next prime is 2134115429. The reversal of 2134115424 is 4245114312.

It is an interprime number because it is at equal distance from previous prime (2134115419) and next prime (2134115429).

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134115429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1142139 + ... + 1144005.

It is an arithmetic number, because the mean of its divisors is an integer number (29094567).

Almost surely, 2^2134115424 is an apocalyptic number.

2134115424 is a gapful number since it is divisible by the number (24) 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 2134115424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665915442).

2134115424 is an abundant number, since it is smaller than the sum of its proper divisors (5197715460).

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

2134115424 is an equidigital number, since it uses as much as digits as its factorization.

2134115424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1879 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2134115424 is about 46196.4871391754. The cubic root of 2134115424 is about 1287.4764728035.

Adding to 2134115424 its reverse (4245114312), we get a palindrome (6379229736).

The spelling of 2134115424 in words is "two billion, one hundred thirty-four million, one hundred fifteen thousand, four hundred twenty-four".