2034514423440 has 120 divisors (see below), whose sum is σ = 6833167024320. Its totient is φ = 542490377472.

The previous prime is 2034514423423. The next prime is 2034514423441. The reversal of 2034514423440 is 443244154302.

2034514423440 is a `hidden beast` number, since 2 + 0 + 34 + 514 + 42 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 2034514423395 and 2034514423404.

It is not an unprimeable number, because it can be changed into a prime (2034514423441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8670381 + ... + 8901939.

It is an arithmetic number, because the mean of its divisors is an integer number (56943058536).

Almost surely, 2^{2034514423440} is an apocalyptic number.

2034514423440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034514423440 is an abundant number, since it is smaller than the sum of its proper divisors (4798652600880).

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

2034514423440 is a wasteful number, since it uses less digits than its factorization.

2034514423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243781 (or 243772 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 2034514423440 its reverse (443244154302), we get a palindrome (2477758577742).

The spelling of 2034514423440 in words is "two trillion, thirty-four billion, five hundred fourteen million, four hundred twenty-three thousand, four hundred forty".