2114434140 has 192 divisors, whose sum is σ = 7318671360. Its totient is φ = 444165120.

The previous prime is 2114434139. The next prime is 2114434151. The reversal of 2114434140 is 414344112.

It is a self number, because there is not a number n which added to its sum of digits gives 2114434140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1478946 + ... + 1480374.

It is an arithmetic number, because the mean of its divisors is an integer number (38118080).

Almost surely, 2^2114434140 is an apocalyptic number.

2114434140 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 2114434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659335680).

2114434140 is an abundant number, since it is smaller than the sum of its proper divisors (5204237220).

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

2114434140 is a wasteful number, since it uses less digits than its factorization.

2114434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2114434140 is about 45982.9766326627. The cubic root of 2114434140 is about 1283.5064460163.

Adding to 2114434140 its reverse (414344112), we get a palindrome (2528778252).

The spelling of 2114434140 in words is "two billion, one hundred fourteen million, four hundred thirty-four thousand, one hundred forty".